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Finding the Fourth Proportional to 24,142, 36,211.36 and 6,612

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Solution

The fourth proportional to 24,142, 36,211.36 and 6,612 is: 9,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142 : 36,211.36 = 6,612 : x
  2. Step 2: Convert to fraction form
    24,142/36,211.36 = 6,612/x
  3. Step 3: Cross multiply
    24,142x = 36,211.36 × 6,612
  4. Step 4: Simplify right side
    24,142x = 239,429,512.32
  5. Step 5: Solve for x
    x = 239,429,512.32/24,142
  6. Step 6: Final answer
    x = 9,917.55

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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.