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Finding the Fourth Proportional to 27,822.61, 38,372.86 and 24,458.29

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Solution

The fourth proportional to 27,822.61, 38,372.86 and 24,458.29 is: 33,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.61 : 38,372.86 = 24,458.29 : x
  2. Step 2: Convert to fraction form
    27,822.61/38,372.86 = 24,458.29/x
  3. Step 3: Cross multiply
    27,822.61x = 38,372.86 × 24,458.29
  4. Step 4: Simplify right side
    27,822.61x = 938,534,223.85
  5. Step 5: Solve for x
    x = 938,534,223.85/27,822.61
  6. Step 6: Final answer
    x = 33,732.79

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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.