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Finding the Fourth Proportional to 24,169.50, 36,254.25 and 8,587.74

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Solution

The fourth proportional to 24,169.50, 36,254.25 and 8,587.74 is: 12,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,169.50 : 36,254.25 = 8,587.74 : x
  2. Step 2: Convert to fraction form
    24,169.50/36,254.25 = 8,587.74/x
  3. Step 3: Cross multiply
    24,169.50x = 36,254.25 × 8,587.74
  4. Step 4: Simplify right side
    24,169.50x = 311,342,072.90
  5. Step 5: Solve for x
    x = 311,342,072.90/24,169.50
  6. Step 6: Final answer
    x = 12,881.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.