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Finding the Fourth Proportional to 28,138.72, 38,841.24 and 16,206.88

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Solution

The fourth proportional to 28,138.72, 38,841.24 and 16,206.88 is: 22,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.72 : 38,841.24 = 16,206.88 : x
  2. Step 2: Convert to fraction form
    28,138.72/38,841.24 = 16,206.88/x
  3. Step 3: Cross multiply
    28,138.72x = 38,841.24 × 16,206.88
  4. Step 4: Simplify right side
    28,138.72x = 629,495,315.73
  5. Step 5: Solve for x
    x = 629,495,315.73/28,138.72
  6. Step 6: Final answer
    x = 22,371.14

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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.