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Finding the Fourth Proportional to 25,600.17, 38,385.78 and 10,598.80

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Solution

The fourth proportional to 25,600.17, 38,385.78 and 10,598.80 is: 15,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.17 : 38,385.78 = 10,598.80 : x
  2. Step 2: Convert to fraction form
    25,600.17/38,385.78 = 10,598.80/x
  3. Step 3: Cross multiply
    25,600.17x = 38,385.78 × 10,598.80
  4. Step 4: Simplify right side
    25,600.17x = 406,843,205.06
  5. Step 5: Solve for x
    x = 406,843,205.06/25,600.17
  6. Step 6: Final answer
    x = 15,892.21

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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.