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Finding the Fourth Proportional to 16,191.54, 22,341.85 and 9,117.78

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Solution

The fourth proportional to 16,191.54, 22,341.85 and 9,117.78 is: 12,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.54 : 22,341.85 = 9,117.78 : x
  2. Step 2: Convert to fraction form
    16,191.54/22,341.85 = 9,117.78/x
  3. Step 3: Cross multiply
    16,191.54x = 22,341.85 × 9,117.78
  4. Step 4: Simplify right side
    16,191.54x = 203,708,073.09
  5. Step 5: Solve for x
    x = 203,708,073.09/16,191.54
  6. Step 6: Final answer
    x = 12,581.14

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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.