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Finding the Fourth Proportional to 17,600.22, 24,287.04 and 9,641.16

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Solution

The fourth proportional to 17,600.22, 24,287.04 and 9,641.16 is: 13,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.22 : 24,287.04 = 9,641.16 : x
  2. Step 2: Convert to fraction form
    17,600.22/24,287.04 = 9,641.16/x
  3. Step 3: Cross multiply
    17,600.22x = 24,287.04 × 9,641.16
  4. Step 4: Simplify right side
    17,600.22x = 234,155,238.57
  5. Step 5: Solve for x
    x = 234,155,238.57/17,600.22
  6. Step 6: Final answer
    x = 13,304.11

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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.