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Finding the Fourth Proportional to 24,721.61, 34,115.86 and 14,655

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Solution

The fourth proportional to 24,721.61, 34,115.86 and 14,655 is: 20,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721.61 : 34,115.86 = 14,655 : x
  2. Step 2: Convert to fraction form
    24,721.61/34,115.86 = 14,655/x
  3. Step 3: Cross multiply
    24,721.61x = 34,115.86 × 14,655
  4. Step 4: Simplify right side
    24,721.61x = 499,967,928.30
  5. Step 5: Solve for x
    x = 499,967,928.30/24,721.61
  6. Step 6: Final answer
    x = 20,223.92

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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.