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Finding the Fourth Proportional to 12,855.29, 17,740.60 and 7,189.90

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Solution

The fourth proportional to 12,855.29, 17,740.60 and 7,189.90 is: 9,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.29 : 17,740.60 = 7,189.90 : x
  2. Step 2: Convert to fraction form
    12,855.29/17,740.60 = 7,189.90/x
  3. Step 3: Cross multiply
    12,855.29x = 17,740.60 × 7,189.90
  4. Step 4: Simplify right side
    12,855.29x = 127,553,077.61
  5. Step 5: Solve for x
    x = 127,553,077.61/12,855.29
  6. Step 6: Final answer
    x = 9,922.23

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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.