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Finding the Fourth Proportional to 21,842.17, 30,141.24 and 13,358.53

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Solution

The fourth proportional to 21,842.17, 30,141.24 and 13,358.53 is: 18,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.17 : 30,141.24 = 13,358.53 : x
  2. Step 2: Convert to fraction form
    21,842.17/30,141.24 = 13,358.53/x
  3. Step 3: Cross multiply
    21,842.17x = 30,141.24 × 13,358.53
  4. Step 4: Simplify right side
    21,842.17x = 402,642,658.78
  5. Step 5: Solve for x
    x = 402,642,658.78/21,842.17
  6. Step 6: Final answer
    x = 18,434.19

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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.