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Finding the Fourth Proportional to 24,052.80, 36,079.68 and 8,257.72

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Solution

The fourth proportional to 24,052.80, 36,079.68 and 8,257.72 is: 12,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.80 : 36,079.68 = 8,257.72 : x
  2. Step 2: Convert to fraction form
    24,052.80/36,079.68 = 8,257.72/x
  3. Step 3: Cross multiply
    24,052.80x = 36,079.68 × 8,257.72
  4. Step 4: Simplify right side
    24,052.80x = 297,935,895.13
  5. Step 5: Solve for x
    x = 297,935,895.13/24,052.80
  6. Step 6: Final answer
    x = 12,386.74

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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.