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Finding the Fourth Proportional to 16,294.38, 22,488.63 and 10,326.60

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Solution

The fourth proportional to 16,294.38, 22,488.63 and 10,326.60 is: 14,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.38 : 22,488.63 = 10,326.60 : x
  2. Step 2: Convert to fraction form
    16,294.38/22,488.63 = 10,326.60/x
  3. Step 3: Cross multiply
    16,294.38x = 22,488.63 × 10,326.60
  4. Step 4: Simplify right side
    16,294.38x = 232,231,086.56
  5. Step 5: Solve for x
    x = 232,231,086.56/16,294.38
  6. Step 6: Final answer
    x = 14,252.22

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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.