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Finding the Fourth Proportional to 25,397.13, 38,099.27 and 10,602.68

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Solution

The fourth proportional to 25,397.13, 38,099.27 and 10,602.68 is: 15,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397.13 : 38,099.27 = 10,602.68 : x
  2. Step 2: Convert to fraction form
    25,397.13/38,099.27 = 10,602.68/x
  3. Step 3: Cross multiply
    25,397.13x = 38,099.27 × 10,602.68
  4. Step 4: Simplify right side
    25,397.13x = 403,954,124.53
  5. Step 5: Solve for x
    x = 403,954,124.53/25,397.13
  6. Step 6: Final answer
    x = 15,905.50

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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.