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Finding the Fourth Proportional to 27,577.15, 41,352.06 and 9,805.14

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Solution

The fourth proportional to 27,577.15, 41,352.06 and 9,805.14 is: 14,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.15 : 41,352.06 = 9,805.14 : x
  2. Step 2: Convert to fraction form
    27,577.15/41,352.06 = 9,805.14/x
  3. Step 3: Cross multiply
    27,577.15x = 41,352.06 × 9,805.14
  4. Step 4: Simplify right side
    27,577.15x = 405,462,688.56
  5. Step 5: Solve for x
    x = 405,462,688.56/27,577.15
  6. Step 6: Final answer
    x = 14,702.85

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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.