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Finding the Fourth Proportional to 24,747.29, 37,126.70 and 8,106.31

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Solution

The fourth proportional to 24,747.29, 37,126.70 and 8,106.31 is: 12,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.29 : 37,126.70 = 8,106.31 : x
  2. Step 2: Convert to fraction form
    24,747.29/37,126.70 = 8,106.31/x
  3. Step 3: Cross multiply
    24,747.29x = 37,126.70 × 8,106.31
  4. Step 4: Simplify right side
    24,747.29x = 300,960,621.35
  5. Step 5: Solve for x
    x = 300,960,621.35/24,747.29
  6. Step 6: Final answer
    x = 12,161.36

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1.5x scale

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.