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Finding the Fourth Proportional to 17,306, 23,882.76 and 9,752.24

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Solution

The fourth proportional to 17,306, 23,882.76 and 9,752.24 is: 13,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,306 : 23,882.76 = 9,752.24 : x
  2. Step 2: Convert to fraction form
    17,306/23,882.76 = 9,752.24/x
  3. Step 3: Cross multiply
    17,306x = 23,882.76 × 9,752.24
  4. Step 4: Simplify right side
    17,306x = 232,910,407.38
  5. Step 5: Solve for x
    x = 232,910,407.38/17,306
  6. Step 6: Final answer
    x = 13,458.36

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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.