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Finding the Fourth Proportional to 24,443.46, 36,661.92 and 6,914.82

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Solution

The fourth proportional to 24,443.46, 36,661.92 and 6,914.82 is: 10,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.46 : 36,661.92 = 6,914.82 : x
  2. Step 2: Convert to fraction form
    24,443.46/36,661.92 = 6,914.82/x
  3. Step 3: Cross multiply
    24,443.46x = 36,661.92 × 6,914.82
  4. Step 4: Simplify right side
    24,443.46x = 253,510,577.65
  5. Step 5: Solve for x
    x = 253,510,577.65/24,443.46
  6. Step 6: Final answer
    x = 10,371.30

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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.