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Finding the Fourth Proportional to 17,685.31, 24,409.20 and 10,136.70

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Solution

The fourth proportional to 17,685.31, 24,409.20 and 10,136.70 is: 13,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.31 : 24,409.20 = 10,136.70 : x
  2. Step 2: Convert to fraction form
    17,685.31/24,409.20 = 10,136.70/x
  3. Step 3: Cross multiply
    17,685.31x = 24,409.20 × 10,136.70
  4. Step 4: Simplify right side
    17,685.31x = 247,428,773.32
  5. Step 5: Solve for x
    x = 247,428,773.32/17,685.31
  6. Step 6: Final answer
    x = 13,990.64

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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.