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Finding the Fourth Proportional to 13,875.18, 19,149.52 and 7,909

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Solution

The fourth proportional to 13,875.18, 19,149.52 and 7,909 is: 10,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.18 : 19,149.52 = 7,909 : x
  2. Step 2: Convert to fraction form
    13,875.18/19,149.52 = 7,909/x
  3. Step 3: Cross multiply
    13,875.18x = 19,149.52 × 7,909
  4. Step 4: Simplify right side
    13,875.18x = 151,453,553.68
  5. Step 5: Solve for x
    x = 151,453,553.68/13,875.18
  6. Step 6: Final answer
    x = 10,915.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.