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Finding the Fourth Proportional to 14,510.91, 20,024.85 and 8,137.47

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Solution

The fourth proportional to 14,510.91, 20,024.85 and 8,137.47 is: 11,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.91 : 20,024.85 = 8,137.47 : x
  2. Step 2: Convert to fraction form
    14,510.91/20,024.85 = 8,137.47/x
  3. Step 3: Cross multiply
    14,510.91x = 20,024.85 × 8,137.47
  4. Step 4: Simplify right side
    14,510.91x = 162,951,616.13
  5. Step 5: Solve for x
    x = 162,951,616.13/14,510.91
  6. Step 6: Final answer
    x = 11,229.59

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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.