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Finding the Fourth Proportional to 24,405.71, 36,609.17 and 6,874.88

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Solution

The fourth proportional to 24,405.71, 36,609.17 and 6,874.88 is: 10,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.71 : 36,609.17 = 6,874.88 : x
  2. Step 2: Convert to fraction form
    24,405.71/36,609.17 = 6,874.88/x
  3. Step 3: Cross multiply
    24,405.71x = 36,609.17 × 6,874.88
  4. Step 4: Simplify right side
    24,405.71x = 251,683,433.23
  5. Step 5: Solve for x
    x = 251,683,433.23/24,405.71
  6. Step 6: Final answer
    x = 10,312.48

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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.