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Finding the Fourth Proportional to 23,175.80, 31,965.18 and 16,367

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Solution

The fourth proportional to 23,175.80, 31,965.18 and 16,367 is: 22,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.80 : 31,965.18 = 16,367 : x
  2. Step 2: Convert to fraction form
    23,175.80/31,965.18 = 16,367/x
  3. Step 3: Cross multiply
    23,175.80x = 31,965.18 × 16,367
  4. Step 4: Simplify right side
    23,175.80x = 523,174,101.06
  5. Step 5: Solve for x
    x = 523,174,101.06/23,175.80
  6. Step 6: Final answer
    x = 22,574.15

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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.