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Finding the Fourth Proportional to 24,902.72, 34,363.47 and 14,833.61

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Solution

The fourth proportional to 24,902.72, 34,363.47 and 14,833.61 is: 20,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.72 : 34,363.47 = 14,833.61 : x
  2. Step 2: Convert to fraction form
    24,902.72/34,363.47 = 14,833.61/x
  3. Step 3: Cross multiply
    24,902.72x = 34,363.47 × 14,833.61
  4. Step 4: Simplify right side
    24,902.72x = 509,734,312.23
  5. Step 5: Solve for x
    x = 509,734,312.23/24,902.72
  6. Step 6: Final answer
    x = 20,469.02

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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.