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Finding the Fourth Proportional to 10,677,084.80, 15,978,302.40 and 9,781,289.60

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Solution

The fourth proportional to 10,677,084.80, 15,978,302.40 and 9,781,289.60 is: 14,637,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,084.80 : 15,978,302.40 = 9,781,289.60 : x
  2. Step 2: Convert to fraction form
    10,677,084.80/15,978,302.40 = 9,781,289.60/x
  3. Step 3: Cross multiply
    10,677,084.80x = 15,978,302.40 × 9,781,289.60
  4. Step 4: Simplify right side
    10,677,084.80x = 156,288,403,090,775.03
  5. Step 5: Solve for x
    x = 156,288,403,090,775.03/10,677,084.80
  6. Step 6: Final answer
    x = 14,637,741.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.