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Finding the Fourth Proportional to 12,138.80, 16,751.68 and 7,101.92

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Solution

The fourth proportional to 12,138.80, 16,751.68 and 7,101.92 is: 9,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.80 : 16,751.68 = 7,101.92 : x
  2. Step 2: Convert to fraction form
    12,138.80/16,751.68 = 7,101.92/x
  3. Step 3: Cross multiply
    12,138.80x = 16,751.68 × 7,101.92
  4. Step 4: Simplify right side
    12,138.80x = 118,969,091.23
  5. Step 5: Solve for x
    x = 118,969,091.23/12,138.80
  6. Step 6: Final answer
    x = 9,800.73

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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.