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Finding the Fourth Proportional to 24,257.68, 36,384.88 and 9,463.84

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Solution

The fourth proportional to 24,257.68, 36,384.88 and 9,463.84 is: 14,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.68 : 36,384.88 = 9,463.84 : x
  2. Step 2: Convert to fraction form
    24,257.68/36,384.88 = 9,463.84/x
  3. Step 3: Cross multiply
    24,257.68x = 36,384.88 × 9,463.84
  4. Step 4: Simplify right side
    24,257.68x = 344,340,682.74
  5. Step 5: Solve for x
    x = 344,340,682.74/24,257.68
  6. Step 6: Final answer
    x = 14,195.12

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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.