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Finding the Fourth Proportional to 16,822.10, 25,237.10 and 9,431.66

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Solution

The fourth proportional to 16,822.10, 25,237.10 and 9,431.66 is: 14,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.10 : 25,237.10 = 9,431.66 : x
  2. Step 2: Convert to fraction form
    16,822.10/25,237.10 = 9,431.66/x
  3. Step 3: Cross multiply
    16,822.10x = 25,237.10 × 9,431.66
  4. Step 4: Simplify right side
    16,822.10x = 238,027,833.26
  5. Step 5: Solve for x
    x = 238,027,833.26/16,822.10
  6. Step 6: Final answer
    x = 14,149.71

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1.5x scale

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.