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Finding the Fourth Proportional to 16,114.87, 22,242.33 and 9,403.81

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Solution

The fourth proportional to 16,114.87, 22,242.33 and 9,403.81 is: 12,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.87 : 22,242.33 = 9,403.81 : x
  2. Step 2: Convert to fraction form
    16,114.87/22,242.33 = 9,403.81/x
  3. Step 3: Cross multiply
    16,114.87x = 22,242.33 × 9,403.81
  4. Step 4: Simplify right side
    16,114.87x = 209,162,645.28
  5. Step 5: Solve for x
    x = 209,162,645.28/16,114.87
  6. Step 6: Final answer
    x = 12,979.48

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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.