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Finding the Fourth Proportional to 24,523.94, 36,753.54 and 9,724.76

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Solution

The fourth proportional to 24,523.94, 36,753.54 and 9,724.76 is: 14,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.94 : 36,753.54 = 9,724.76 : x
  2. Step 2: Convert to fraction form
    24,523.94/36,753.54 = 9,724.76/x
  3. Step 3: Cross multiply
    24,523.94x = 36,753.54 × 9,724.76
  4. Step 4: Simplify right side
    24,523.94x = 357,419,355.65
  5. Step 5: Solve for x
    x = 357,419,355.65/24,523.94
  6. Step 6: Final answer
    x = 14,574.30

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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.