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Finding the Fourth Proportional to 17,024.16, 23,489.88 and 9,949.20

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Solution

The fourth proportional to 17,024.16, 23,489.88 and 9,949.20 is: 13,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.16 : 23,489.88 = 9,949.20 : x
  2. Step 2: Convert to fraction form
    17,024.16/23,489.88 = 9,949.20/x
  3. Step 3: Cross multiply
    17,024.16x = 23,489.88 × 9,949.20
  4. Step 4: Simplify right side
    17,024.16x = 233,705,514.10
  5. Step 5: Solve for x
    x = 233,705,514.10/17,024.16
  6. Step 6: Final answer
    x = 13,727.87

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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.