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Finding the Fourth Proportional to 24,802.92, 34,228.17 and 14,731.83

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Solution

The fourth proportional to 24,802.92, 34,228.17 and 14,731.83 is: 20,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.92 : 34,228.17 = 14,731.83 : x
  2. Step 2: Convert to fraction form
    24,802.92/34,228.17 = 14,731.83/x
  3. Step 3: Cross multiply
    24,802.92x = 34,228.17 × 14,731.83
  4. Step 4: Simplify right side
    24,802.92x = 504,243,581.65
  5. Step 5: Solve for x
    x = 504,243,581.65/24,802.92
  6. Step 6: Final answer
    x = 20,330.01

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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.