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Finding the Fourth Proportional to 18,040.64, 24,896.24 and 9,974.17

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Solution

The fourth proportional to 18,040.64, 24,896.24 and 9,974.17 is: 13,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,040.64 : 24,896.24 = 9,974.17 : x
  2. Step 2: Convert to fraction form
    18,040.64/24,896.24 = 9,974.17/x
  3. Step 3: Cross multiply
    18,040.64x = 24,896.24 × 9,974.17
  4. Step 4: Simplify right side
    18,040.64x = 248,319,404.88
  5. Step 5: Solve for x
    x = 248,319,404.88/18,040.64
  6. Step 6: Final answer
    x = 13,764.44

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1.5x scale

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.