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Finding the Fourth Proportional to 16,039.24, 22,134.24 and 8,965.96

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Solution

The fourth proportional to 16,039.24, 22,134.24 and 8,965.96 is: 12,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.24 : 22,134.24 = 8,965.96 : x
  2. Step 2: Convert to fraction form
    16,039.24/22,134.24 = 8,965.96/x
  3. Step 3: Cross multiply
    16,039.24x = 22,134.24 × 8,965.96
  4. Step 4: Simplify right side
    16,039.24x = 198,454,710.47
  5. Step 5: Solve for x
    x = 198,454,710.47/16,039.24
  6. Step 6: Final answer
    x = 12,373.07

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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.