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Finding the Fourth Proportional to 17,732.28, 26,573.28 and 9,838.24

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Solution

The fourth proportional to 17,732.28, 26,573.28 and 9,838.24 is: 14,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.28 : 26,573.28 = 9,838.24 : x
  2. Step 2: Convert to fraction form
    17,732.28/26,573.28 = 9,838.24/x
  3. Step 3: Cross multiply
    17,732.28x = 26,573.28 × 9,838.24
  4. Step 4: Simplify right side
    17,732.28x = 261,434,306.23
  5. Step 5: Solve for x
    x = 261,434,306.23/17,732.28
  6. Step 6: Final answer
    x = 14,743.41

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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.