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Finding the Fourth Proportional to 24,411.42, 36,612 and 6,876.54

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Solution

The fourth proportional to 24,411.42, 36,612 and 6,876.54 is: 10,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.42 : 36,612 = 6,876.54 : x
  2. Step 2: Convert to fraction form
    24,411.42/36,612 = 6,876.54/x
  3. Step 3: Cross multiply
    24,411.42x = 36,612 × 6,876.54
  4. Step 4: Simplify right side
    24,411.42x = 251,763,882.48
  5. Step 5: Solve for x
    x = 251,763,882.48/24,411.42
  6. Step 6: Final answer
    x = 10,313.36

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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.