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Finding the Fourth Proportional to 27,774.59, 41,665.12 and 9,757.28

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Solution

The fourth proportional to 27,774.59, 41,665.12 and 9,757.28 is: 14,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.59 : 41,665.12 = 9,757.28 : x
  2. Step 2: Convert to fraction form
    27,774.59/41,665.12 = 9,757.28/x
  3. Step 3: Cross multiply
    27,774.59x = 41,665.12 × 9,757.28
  4. Step 4: Simplify right side
    27,774.59x = 406,538,321.84
  5. Step 5: Solve for x
    x = 406,538,321.84/27,774.59
  6. Step 6: Final answer
    x = 14,637.06

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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.