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Finding the Fourth Proportional to 16,295.88, 22,488.65 and 9,222.30

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Solution

The fourth proportional to 16,295.88, 22,488.65 and 9,222.30 is: 12,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.88 : 22,488.65 = 9,222.30 : x
  2. Step 2: Convert to fraction form
    16,295.88/22,488.65 = 9,222.30/x
  3. Step 3: Cross multiply
    16,295.88x = 22,488.65 × 9,222.30
  4. Step 4: Simplify right side
    16,295.88x = 207,397,076.90
  5. Step 5: Solve for x
    x = 207,397,076.90/16,295.88
  6. Step 6: Final answer
    x = 12,726.96

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