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Finding the Fourth Proportional to 12,281.52, 18,418.56 and 6,434.88

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Solution

The fourth proportional to 12,281.52, 18,418.56 and 6,434.88 is: 9,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.52 : 18,418.56 = 6,434.88 : x
  2. Step 2: Convert to fraction form
    12,281.52/18,418.56 = 6,434.88/x
  3. Step 3: Cross multiply
    12,281.52x = 18,418.56 × 6,434.88
  4. Step 4: Simplify right side
    12,281.52x = 118,521,223.37
  5. Step 5: Solve for x
    x = 118,521,223.37/12,281.52
  6. Step 6: Final answer
    x = 9,650.37

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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.