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Finding the Fourth Proportional to 16,343.11, 22,552.78 and 9,074.76

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Solution

The fourth proportional to 16,343.11, 22,552.78 and 9,074.76 is: 12,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.11 : 22,552.78 = 9,074.76 : x
  2. Step 2: Convert to fraction form
    16,343.11/22,552.78 = 9,074.76/x
  3. Step 3: Cross multiply
    16,343.11x = 22,552.78 × 9,074.76
  4. Step 4: Simplify right side
    16,343.11x = 204,661,065.83
  5. Step 5: Solve for x
    x = 204,661,065.83/16,343.11
  6. Step 6: Final answer
    x = 12,522.77

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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.