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Finding the Fourth Proportional to 24,474.33, 36,713.91 and 7,830.18

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Solution

The fourth proportional to 24,474.33, 36,713.91 and 7,830.18 is: 11,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.33 : 36,713.91 = 7,830.18 : x
  2. Step 2: Convert to fraction form
    24,474.33/36,713.91 = 7,830.18/x
  3. Step 3: Cross multiply
    24,474.33x = 36,713.91 × 7,830.18
  4. Step 4: Simplify right side
    24,474.33x = 287,476,523.80
  5. Step 5: Solve for x
    x = 287,476,523.80/24,474.33
  6. Step 6: Final answer
    x = 11,746.04

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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.