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Finding the Fourth Proportional to 24,382.88, 36,574.33 and 5,914.88

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Solution

The fourth proportional to 24,382.88, 36,574.33 and 5,914.88 is: 8,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.88 : 36,574.33 = 5,914.88 : x
  2. Step 2: Convert to fraction form
    24,382.88/36,574.33 = 5,914.88/x
  3. Step 3: Cross multiply
    24,382.88x = 36,574.33 × 5,914.88
  4. Step 4: Simplify right side
    24,382.88x = 216,332,575.37
  5. Step 5: Solve for x
    x = 216,332,575.37/24,382.88
  6. Step 6: Final answer
    x = 8,872.32

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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.