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Finding the Fourth Proportional to 29,882.14, 41,239.06 and 16,456.26

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Solution

The fourth proportional to 29,882.14, 41,239.06 and 16,456.26 is: 22,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.14 : 41,239.06 = 16,456.26 : x
  2. Step 2: Convert to fraction form
    29,882.14/41,239.06 = 16,456.26/x
  3. Step 3: Cross multiply
    29,882.14x = 41,239.06 × 16,456.26
  4. Step 4: Simplify right side
    29,882.14x = 678,640,693.52
  5. Step 5: Solve for x
    x = 678,640,693.52/29,882.14
  6. Step 6: Final answer
    x = 22,710.58

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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.