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Finding the Fourth Proportional to 16,114.68, 22,238.33 and 9,041.15

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Solution

The fourth proportional to 16,114.68, 22,238.33 and 9,041.15 is: 12,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.68 : 22,238.33 = 9,041.15 : x
  2. Step 2: Convert to fraction form
    16,114.68/22,238.33 = 9,041.15/x
  3. Step 3: Cross multiply
    16,114.68x = 22,238.33 × 9,041.15
  4. Step 4: Simplify right side
    16,114.68x = 201,060,077.28
  5. Step 5: Solve for x
    x = 201,060,077.28/16,114.68
  6. Step 6: Final answer
    x = 12,476.83

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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.