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Finding the Fourth Proportional to 16,565.34, 22,865.31 and 10,193.88

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Solution

The fourth proportional to 16,565.34, 22,865.31 and 10,193.88 is: 14,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.34 : 22,865.31 = 10,193.88 : x
  2. Step 2: Convert to fraction form
    16,565.34/22,865.31 = 10,193.88/x
  3. Step 3: Cross multiply
    16,565.34x = 22,865.31 × 10,193.88
  4. Step 4: Simplify right side
    16,565.34x = 233,086,175.33
  5. Step 5: Solve for x
    x = 233,086,175.33/16,565.34
  6. Step 6: Final answer
    x = 14,070.71

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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.