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Finding the Fourth Proportional to 24,501.72, 36,751.92 and 7,862.88

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Solution

The fourth proportional to 24,501.72, 36,751.92 and 7,862.88 is: 11,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.72 : 36,751.92 = 7,862.88 : x
  2. Step 2: Convert to fraction form
    24,501.72/36,751.92 = 7,862.88/x
  3. Step 3: Cross multiply
    24,501.72x = 36,751.92 × 7,862.88
  4. Step 4: Simplify right side
    24,501.72x = 288,975,936.73
  5. Step 5: Solve for x
    x = 288,975,936.73/24,501.72
  6. Step 6: Final answer
    x = 11,794.11

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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.