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Finding the Fourth Proportional to 16,219.42, 22,382.76 and 9,145.78

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Solution

The fourth proportional to 16,219.42, 22,382.76 and 9,145.78 is: 12,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.42 : 22,382.76 = 9,145.78 : x
  2. Step 2: Convert to fraction form
    16,219.42/22,382.76 = 9,145.78/x
  3. Step 3: Cross multiply
    16,219.42x = 22,382.76 × 9,145.78
  4. Step 4: Simplify right side
    16,219.42x = 204,707,798.75
  5. Step 5: Solve for x
    x = 204,707,798.75/16,219.42
  6. Step 6: Final answer
    x = 12,621.15

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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.