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Finding the Fourth Proportional to 16,122.59, 24,182.16 and 9,871.71

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Solution

The fourth proportional to 16,122.59, 24,182.16 and 9,871.71 is: 14,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.59 : 24,182.16 = 9,871.71 : x
  2. Step 2: Convert to fraction form
    16,122.59/24,182.16 = 9,871.71/x
  3. Step 3: Cross multiply
    16,122.59x = 24,182.16 × 9,871.71
  4. Step 4: Simplify right side
    16,122.59x = 238,719,270.69
  5. Step 5: Solve for x
    x = 238,719,270.69/16,122.59
  6. Step 6: Final answer
    x = 14,806.51

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Why These Related Problems?

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