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Finding the Fourth Proportional to 24,454.32, 36,659.46 and 8,861

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Solution

The fourth proportional to 24,454.32, 36,659.46 and 8,861 is: 13,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.32 : 36,659.46 = 8,861 : x
  2. Step 2: Convert to fraction form
    24,454.32/36,659.46 = 8,861/x
  3. Step 3: Cross multiply
    24,454.32x = 36,659.46 × 8,861
  4. Step 4: Simplify right side
    24,454.32x = 324,839,475.06
  5. Step 5: Solve for x
    x = 324,839,475.06/24,454.32
  6. Step 6: Final answer
    x = 13,283.52

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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.