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Finding the Fourth Proportional to 16,109.12, 22,217.76 and 13,309.76

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Solution

The fourth proportional to 16,109.12, 22,217.76 and 13,309.76 is: 18,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.12 : 22,217.76 = 13,309.76 : x
  2. Step 2: Convert to fraction form
    16,109.12/22,217.76 = 13,309.76/x
  3. Step 3: Cross multiply
    16,109.12x = 22,217.76 × 13,309.76
  4. Step 4: Simplify right side
    16,109.12x = 295,713,053.34
  5. Step 5: Solve for x
    x = 295,713,053.34/16,109.12
  6. Step 6: Final answer
    x = 18,356.87

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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.