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Finding the Fourth Proportional to 21,538.33, 29,721.42 and 13,045.16

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Solution

The fourth proportional to 21,538.33, 29,721.42 and 13,045.16 is: 18,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.33 : 29,721.42 = 13,045.16 : x
  2. Step 2: Convert to fraction form
    21,538.33/29,721.42 = 13,045.16/x
  3. Step 3: Cross multiply
    21,538.33x = 29,721.42 × 13,045.16
  4. Step 4: Simplify right side
    21,538.33x = 387,720,753.63
  5. Step 5: Solve for x
    x = 387,720,753.63/21,538.33
  6. Step 6: Final answer
    x = 18,001.43

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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.