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Finding the Fourth Proportional to 27,188.85, 40,781.45 and 7,465.75

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Solution

The fourth proportional to 27,188.85, 40,781.45 and 7,465.75 is: 11,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.85 : 40,781.45 = 7,465.75 : x
  2. Step 2: Convert to fraction form
    27,188.85/40,781.45 = 7,465.75/x
  3. Step 3: Cross multiply
    27,188.85x = 40,781.45 × 7,465.75
  4. Step 4: Simplify right side
    27,188.85x = 304,464,073.01
  5. Step 5: Solve for x
    x = 304,464,073.01/27,188.85
  6. Step 6: Final answer
    x = 11,198.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.