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Finding the Fourth Proportional to 24,452.43, 36,660.65 and 7,802.88

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Solution

The fourth proportional to 24,452.43, 36,660.65 and 7,802.88 is: 11,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.43 : 36,660.65 = 7,802.88 : x
  2. Step 2: Convert to fraction form
    24,452.43/36,660.65 = 7,802.88/x
  3. Step 3: Cross multiply
    24,452.43x = 36,660.65 × 7,802.88
  4. Step 4: Simplify right side
    24,452.43x = 286,058,613.66
  5. Step 5: Solve for x
    x = 286,058,613.66/24,452.43
  6. Step 6: Final answer
    x = 11,698.58

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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.