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Finding the Fourth Proportional to 16,191.06, 22,338.51 and 9,116.11

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Solution

The fourth proportional to 16,191.06, 22,338.51 and 9,116.11 is: 12,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.06 : 22,338.51 = 9,116.11 : x
  2. Step 2: Convert to fraction form
    16,191.06/22,338.51 = 9,116.11/x
  3. Step 3: Cross multiply
    16,191.06x = 22,338.51 × 9,116.11
  4. Step 4: Simplify right side
    16,191.06x = 203,640,314.40
  5. Step 5: Solve for x
    x = 203,640,314.40/16,191.06
  6. Step 6: Final answer
    x = 12,577.33

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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.