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Finding the Fourth Proportional to 16,515.32, 24,776.86 and 5,422

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Solution

The fourth proportional to 16,515.32, 24,776.86 and 5,422 is: 8,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.32 : 24,776.86 = 5,422 : x
  2. Step 2: Convert to fraction form
    16,515.32/24,776.86 = 5,422/x
  3. Step 3: Cross multiply
    16,515.32x = 24,776.86 × 5,422
  4. Step 4: Simplify right side
    16,515.32x = 134,340,134.92
  5. Step 5: Solve for x
    x = 134,340,134.92/16,515.32
  6. Step 6: Final answer
    x = 8,134.27

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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.