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Finding the Fourth Proportional to 24,107.68, 36,148.56 and 7,462.72

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Solution

The fourth proportional to 24,107.68, 36,148.56 and 7,462.72 is: 11,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.68 : 36,148.56 = 7,462.72 : x
  2. Step 2: Convert to fraction form
    24,107.68/36,148.56 = 7,462.72/x
  3. Step 3: Cross multiply
    24,107.68x = 36,148.56 × 7,462.72
  4. Step 4: Simplify right side
    24,107.68x = 269,766,581.68
  5. Step 5: Solve for x
    x = 269,766,581.68/24,107.68
  6. Step 6: Final answer
    x = 11,190.07

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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.