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Finding the Fourth Proportional to 27,780.82, 41,675.56 and 9,308.50

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Solution

The fourth proportional to 27,780.82, 41,675.56 and 9,308.50 is: 13,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.82 : 41,675.56 = 9,308.50 : x
  2. Step 2: Convert to fraction form
    27,780.82/41,675.56 = 9,308.50/x
  3. Step 3: Cross multiply
    27,780.82x = 41,675.56 × 9,308.50
  4. Step 4: Simplify right side
    27,780.82x = 387,936,950.26
  5. Step 5: Solve for x
    x = 387,936,950.26/27,780.82
  6. Step 6: Final answer
    x = 13,964.20

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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.