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Finding the Fourth Proportional to 16,854, 25,287.72 and 8,529.52

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Solution

The fourth proportional to 16,854, 25,287.72 and 8,529.52 is: 12,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 25,287.72 = 8,529.52 : x
  2. Step 2: Convert to fraction form
    16,854/25,287.72 = 8,529.52/x
  3. Step 3: Cross multiply
    16,854x = 25,287.72 × 8,529.52
  4. Step 4: Simplify right side
    16,854x = 215,692,113.49
  5. Step 5: Solve for x
    x = 215,692,113.49/16,854
  6. Step 6: Final answer
    x = 12,797.68

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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.