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Finding the Fourth Proportional to 16,422.38, 22,663.12 and 9,348.84

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Solution

The fourth proportional to 16,422.38, 22,663.12 and 9,348.84 is: 12,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.38 : 22,663.12 = 9,348.84 : x
  2. Step 2: Convert to fraction form
    16,422.38/22,663.12 = 9,348.84/x
  3. Step 3: Cross multiply
    16,422.38x = 22,663.12 × 9,348.84
  4. Step 4: Simplify right side
    16,422.38x = 211,873,882.78
  5. Step 5: Solve for x
    x = 211,873,882.78/16,422.38
  6. Step 6: Final answer
    x = 12,901.53

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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.