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Finding the Fourth Proportional to 16,192.98, 22,348.31 and 9,119.25

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Solution

The fourth proportional to 16,192.98, 22,348.31 and 9,119.25 is: 12,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.98 : 22,348.31 = 9,119.25 : x
  2. Step 2: Convert to fraction form
    16,192.98/22,348.31 = 9,119.25/x
  3. Step 3: Cross multiply
    16,192.98x = 22,348.31 × 9,119.25
  4. Step 4: Simplify right side
    16,192.98x = 203,799,780.37
  5. Step 5: Solve for x
    x = 203,799,780.37/16,192.98
  6. Step 6: Final answer
    x = 12,585.69

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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.