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Finding the Fourth Proportional to 13,930.47, 20,904.39 and 8,675.80

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Solution

The fourth proportional to 13,930.47, 20,904.39 and 8,675.80 is: 13,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.47 : 20,904.39 = 8,675.80 : x
  2. Step 2: Convert to fraction form
    13,930.47/20,904.39 = 8,675.80/x
  3. Step 3: Cross multiply
    13,930.47x = 20,904.39 × 8,675.80
  4. Step 4: Simplify right side
    13,930.47x = 181,362,254.50
  5. Step 5: Solve for x
    x = 181,362,254.50/13,930.47
  6. Step 6: Final answer
    x = 13,019.11

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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.