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Finding the Fourth Proportional to 24,732.84, 37,098.92 and 6,012.83

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Solution

The fourth proportional to 24,732.84, 37,098.92 and 6,012.83 is: 9,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.84 : 37,098.92 = 6,012.83 : x
  2. Step 2: Convert to fraction form
    24,732.84/37,098.92 = 6,012.83/x
  3. Step 3: Cross multiply
    24,732.84x = 37,098.92 × 6,012.83
  4. Step 4: Simplify right side
    24,732.84x = 223,069,313.65
  5. Step 5: Solve for x
    x = 223,069,313.65/24,732.84
  6. Step 6: Final answer
    x = 9,019.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.