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Finding the Fourth Proportional to 24,257.59, 36,386.51 and 8,462.75

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Solution

The fourth proportional to 24,257.59, 36,386.51 and 8,462.75 is: 12,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.59 : 36,386.51 = 8,462.75 : x
  2. Step 2: Convert to fraction form
    24,257.59/36,386.51 = 8,462.75/x
  3. Step 3: Cross multiply
    24,257.59x = 36,386.51 × 8,462.75
  4. Step 4: Simplify right side
    24,257.59x = 307,930,049.63
  5. Step 5: Solve for x
    x = 307,930,049.63/24,257.59
  6. Step 6: Final answer
    x = 12,694.17

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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.