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Finding the Fourth Proportional to 16,502.28, 24,756.16 and 8,182.57

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Solution

The fourth proportional to 16,502.28, 24,756.16 and 8,182.57 is: 12,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.28 : 24,756.16 = 8,182.57 : x
  2. Step 2: Convert to fraction form
    16,502.28/24,756.16 = 8,182.57/x
  3. Step 3: Cross multiply
    16,502.28x = 24,756.16 × 8,182.57
  4. Step 4: Simplify right side
    16,502.28x = 202,568,968.53
  5. Step 5: Solve for x
    x = 202,568,968.53/16,502.28
  6. Step 6: Final answer
    x = 12,275.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.