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Finding the Fourth Proportional to 16,797.87, 23,182.88 and 10,512.27

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Solution

The fourth proportional to 16,797.87, 23,182.88 and 10,512.27 is: 14,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,797.87 : 23,182.88 = 10,512.27 : x
  2. Step 2: Convert to fraction form
    16,797.87/23,182.88 = 10,512.27/x
  3. Step 3: Cross multiply
    16,797.87x = 23,182.88 × 10,512.27
  4. Step 4: Simplify right side
    16,797.87x = 243,704,641.38
  5. Step 5: Solve for x
    x = 243,704,641.38/16,797.87
  6. Step 6: Final answer
    x = 14,508.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.