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Finding the Fourth Proportional to 28,113.60, 42,172.80 and 9,645.60

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Solution

The fourth proportional to 28,113.60, 42,172.80 and 9,645.60 is: 14,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,113.60 : 42,172.80 = 9,645.60 : x
  2. Step 2: Convert to fraction form
    28,113.60/42,172.80 = 9,645.60/x
  3. Step 3: Cross multiply
    28,113.60x = 42,172.80 × 9,645.60
  4. Step 4: Simplify right side
    28,113.60x = 406,781,959.68
  5. Step 5: Solve for x
    x = 406,781,959.68/28,113.60
  6. Step 6: Final answer
    x = 14,469.22

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