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Finding the Fourth Proportional to 17,797.53, 24,561.11 and 9,731.66

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Solution

The fourth proportional to 17,797.53, 24,561.11 and 9,731.66 is: 13,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.53 : 24,561.11 = 9,731.66 : x
  2. Step 2: Convert to fraction form
    17,797.53/24,561.11 = 9,731.66/x
  3. Step 3: Cross multiply
    17,797.53x = 24,561.11 × 9,731.66
  4. Step 4: Simplify right side
    17,797.53x = 239,020,200.28
  5. Step 5: Solve for x
    x = 239,020,200.28/17,797.53
  6. Step 6: Final answer
    x = 13,429.96

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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.