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Finding the Fourth Proportional to 24,076.47, 36,120.86 and 9,281.42

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Solution

The fourth proportional to 24,076.47, 36,120.86 and 9,281.42 is: 13,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.47 : 36,120.86 = 9,281.42 : x
  2. Step 2: Convert to fraction form
    24,076.47/36,120.86 = 9,281.42/x
  3. Step 3: Cross multiply
    24,076.47x = 36,120.86 × 9,281.42
  4. Step 4: Simplify right side
    24,076.47x = 335,252,645.41
  5. Step 5: Solve for x
    x = 335,252,645.41/24,076.47
  6. Step 6: Final answer
    x = 13,924.49

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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.