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Finding the Fourth Proportional to 27,761.40, 38,312.16 and 16,437.42

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Solution

The fourth proportional to 27,761.40, 38,312.16 and 16,437.42 is: 22,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.40 : 38,312.16 = 16,437.42 : x
  2. Step 2: Convert to fraction form
    27,761.40/38,312.16 = 16,437.42/x
  3. Step 3: Cross multiply
    27,761.40x = 38,312.16 × 16,437.42
  4. Step 4: Simplify right side
    27,761.40x = 629,753,065.03
  5. Step 5: Solve for x
    x = 629,753,065.03/27,761.40
  6. Step 6: Final answer
    x = 22,684.49

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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.