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Finding the Fourth Proportional to 27,538.85, 41,308.20 and 7,817.45

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Solution

The fourth proportional to 27,538.85, 41,308.20 and 7,817.45 is: 11,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.85 : 41,308.20 = 7,817.45 : x
  2. Step 2: Convert to fraction form
    27,538.85/41,308.20 = 7,817.45/x
  3. Step 3: Cross multiply
    27,538.85x = 41,308.20 × 7,817.45
  4. Step 4: Simplify right side
    27,538.85x = 322,924,581.55
  5. Step 5: Solve for x
    x = 322,924,581.55/27,538.85
  6. Step 6: Final answer
    x = 11,726.15

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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.