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Finding the Fourth Proportional to 21,538.71, 29,724.11 and 13,042.42

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Solution

The fourth proportional to 21,538.71, 29,724.11 and 13,042.42 is: 17,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.71 : 29,724.11 = 13,042.42 : x
  2. Step 2: Convert to fraction form
    21,538.71/29,724.11 = 13,042.42/x
  3. Step 3: Cross multiply
    21,538.71x = 29,724.11 × 13,042.42
  4. Step 4: Simplify right side
    21,538.71x = 387,674,309.50
  5. Step 5: Solve for x
    x = 387,674,309.50/21,538.71
  6. Step 6: Final answer
    x = 17,998.96

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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.