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Finding the Fourth Proportional to 16,182.84, 22,331.64 and 9,109

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Solution

The fourth proportional to 16,182.84, 22,331.64 and 9,109 is: 12,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.84 : 22,331.64 = 9,109 : x
  2. Step 2: Convert to fraction form
    16,182.84/22,331.64 = 9,109/x
  3. Step 3: Cross multiply
    16,182.84x = 22,331.64 × 9,109
  4. Step 4: Simplify right side
    16,182.84x = 203,418,908.76
  5. Step 5: Solve for x
    x = 203,418,908.76/16,182.84
  6. Step 6: Final answer
    x = 12,570.04

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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.