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Finding the Fourth Proportional to 17,797.57, 24,559.66 and 9,839.32

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Solution

The fourth proportional to 17,797.57, 24,559.66 and 9,839.32 is: 13,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.57 : 24,559.66 = 9,839.32 : x
  2. Step 2: Convert to fraction form
    17,797.57/24,559.66 = 9,839.32/x
  3. Step 3: Cross multiply
    17,797.57x = 24,559.66 × 9,839.32
  4. Step 4: Simplify right side
    17,797.57x = 241,650,353.83
  5. Step 5: Solve for x
    x = 241,650,353.83/17,797.57
  6. Step 6: Final answer
    x = 13,577.72

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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.