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Finding the Fourth Proportional to 18,100.68, 24,979.28 and 10,142.80

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Solution

The fourth proportional to 18,100.68, 24,979.28 and 10,142.80 is: 13,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,100.68 : 24,979.28 = 10,142.80 : x
  2. Step 2: Convert to fraction form
    18,100.68/24,979.28 = 10,142.80/x
  3. Step 3: Cross multiply
    18,100.68x = 24,979.28 × 10,142.80
  4. Step 4: Simplify right side
    18,100.68x = 253,359,841.18
  5. Step 5: Solve for x
    x = 253,359,841.18/18,100.68
  6. Step 6: Final answer
    x = 13,997.26

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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.