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Finding the Fourth Proportional to 16,189.24, 22,340.82 and 9,019.15

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Solution

The fourth proportional to 16,189.24, 22,340.82 and 9,019.15 is: 12,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.24 : 22,340.82 = 9,019.15 : x
  2. Step 2: Convert to fraction form
    16,189.24/22,340.82 = 9,019.15/x
  3. Step 3: Cross multiply
    16,189.24x = 22,340.82 × 9,019.15
  4. Step 4: Simplify right side
    16,189.24x = 201,495,206.70
  5. Step 5: Solve for x
    x = 201,495,206.70/16,189.24
  6. Step 6: Final answer
    x = 12,446.24

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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.