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Finding the Fourth Proportional to 23,080, 31,863.36 and 17,692.24

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Solution

The fourth proportional to 23,080, 31,863.36 and 17,692.24 is: 24,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080 : 31,863.36 = 17,692.24 : x
  2. Step 2: Convert to fraction form
    23,080/31,863.36 = 17,692.24/x
  3. Step 3: Cross multiply
    23,080x = 31,863.36 × 17,692.24
  4. Step 4: Simplify right side
    23,080x = 563,734,212.33
  5. Step 5: Solve for x
    x = 563,734,212.33/23,080
  6. Step 6: Final answer
    x = 24,425.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.