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Finding the Fourth Proportional to 17,711.68, 24,443.36 and 9,754.88

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Solution

The fourth proportional to 17,711.68, 24,443.36 and 9,754.88 is: 13,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.68 : 24,443.36 = 9,754.88 : x
  2. Step 2: Convert to fraction form
    17,711.68/24,443.36 = 9,754.88/x
  3. Step 3: Cross multiply
    17,711.68x = 24,443.36 × 9,754.88
  4. Step 4: Simplify right side
    17,711.68x = 238,442,043.60
  5. Step 5: Solve for x
    x = 238,442,043.60/17,711.68
  6. Step 6: Final answer
    x = 13,462.42

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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.