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Finding the Fourth Proportional to 16,112.60, 22,234.74 and 9,039.14

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Solution

The fourth proportional to 16,112.60, 22,234.74 and 9,039.14 is: 12,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112.60 : 22,234.74 = 9,039.14 : x
  2. Step 2: Convert to fraction form
    16,112.60/22,234.74 = 9,039.14/x
  3. Step 3: Cross multiply
    16,112.60x = 22,234.74 × 9,039.14
  4. Step 4: Simplify right side
    16,112.60x = 200,982,927.72
  5. Step 5: Solve for x
    x = 200,982,927.72/16,112.60
  6. Step 6: Final answer
    x = 12,473.65

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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.