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Finding the Fourth Proportional to 24,387.51, 36,581.28 and 6,857.34

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Solution

The fourth proportional to 24,387.51, 36,581.28 and 6,857.34 is: 10,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.51 : 36,581.28 = 6,857.34 : x
  2. Step 2: Convert to fraction form
    24,387.51/36,581.28 = 6,857.34/x
  3. Step 3: Cross multiply
    24,387.51x = 36,581.28 × 6,857.34
  4. Step 4: Simplify right side
    24,387.51x = 250,850,365.69
  5. Step 5: Solve for x
    x = 250,850,365.69/24,387.51
  6. Step 6: Final answer
    x = 10,286.02

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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.