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Finding the Fourth Proportional to 16,304.46, 22,500.03 and 9,230.82

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Solution

The fourth proportional to 16,304.46, 22,500.03 and 9,230.82 is: 12,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.46 : 22,500.03 = 9,230.82 : x
  2. Step 2: Convert to fraction form
    16,304.46/22,500.03 = 9,230.82/x
  3. Step 3: Cross multiply
    16,304.46x = 22,500.03 × 9,230.82
  4. Step 4: Simplify right side
    16,304.46x = 207,693,726.92
  5. Step 5: Solve for x
    x = 207,693,726.92/16,304.46
  6. Step 6: Final answer
    x = 12,738.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.