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Finding the Fourth Proportional to 17,658.73, 24,371.20 and 10,206.73

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Solution

The fourth proportional to 17,658.73, 24,371.20 and 10,206.73 is: 14,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.73 : 24,371.20 = 10,206.73 : x
  2. Step 2: Convert to fraction form
    17,658.73/24,371.20 = 10,206.73/x
  3. Step 3: Cross multiply
    17,658.73x = 24,371.20 × 10,206.73
  4. Step 4: Simplify right side
    17,658.73x = 248,750,258.18
  5. Step 5: Solve for x
    x = 248,750,258.18/17,658.73
  6. Step 6: Final answer
    x = 14,086.53

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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.