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Finding the Fourth Proportional to 17,480.80, 24,123.38 and 9,523.02

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Solution

The fourth proportional to 17,480.80, 24,123.38 and 9,523.02 is: 13,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.80 : 24,123.38 = 9,523.02 : x
  2. Step 2: Convert to fraction form
    17,480.80/24,123.38 = 9,523.02/x
  3. Step 3: Cross multiply
    17,480.80x = 24,123.38 × 9,523.02
  4. Step 4: Simplify right side
    17,480.80x = 229,727,382.59
  5. Step 5: Solve for x
    x = 229,727,382.59/17,480.80
  6. Step 6: Final answer
    x = 13,141.70

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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.