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Finding the Fourth Proportional to 24,149.34, 36,238.59 and 8,565.75

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Solution

The fourth proportional to 24,149.34, 36,238.59 and 8,565.75 is: 12,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.34 : 36,238.59 = 8,565.75 : x
  2. Step 2: Convert to fraction form
    24,149.34/36,238.59 = 8,565.75/x
  3. Step 3: Cross multiply
    24,149.34x = 36,238.59 × 8,565.75
  4. Step 4: Simplify right side
    24,149.34x = 310,410,702.29
  5. Step 5: Solve for x
    x = 310,410,702.29/24,149.34
  6. Step 6: Final answer
    x = 12,853.80

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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.