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Finding the Fourth Proportional to 24,257.40, 36,387.78 and 9,461.40

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Solution

The fourth proportional to 24,257.40, 36,387.78 and 9,461.40 is: 14,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.40 : 36,387.78 = 9,461.40 : x
  2. Step 2: Convert to fraction form
    24,257.40/36,387.78 = 9,461.40/x
  3. Step 3: Cross multiply
    24,257.40x = 36,387.78 × 9,461.40
  4. Step 4: Simplify right side
    24,257.40x = 344,279,341.69
  5. Step 5: Solve for x
    x = 344,279,341.69/24,257.40
  6. Step 6: Final answer
    x = 14,192.76

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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.