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Finding the Fourth Proportional to 16,091.94, 22,202.71 and 9,713.49

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Solution

The fourth proportional to 16,091.94, 22,202.71 and 9,713.49 is: 13,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.94 : 22,202.71 = 9,713.49 : x
  2. Step 2: Convert to fraction form
    16,091.94/22,202.71 = 9,713.49/x
  3. Step 3: Cross multiply
    16,091.94x = 22,202.71 × 9,713.49
  4. Step 4: Simplify right side
    16,091.94x = 215,665,869.21
  5. Step 5: Solve for x
    x = 215,665,869.21/16,091.94
  6. Step 6: Final answer
    x = 13,402.10

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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.