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Finding the Fourth Proportional to 27,108.18, 40,659.87 and 9,577.14

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Solution

The fourth proportional to 27,108.18, 40,659.87 and 9,577.14 is: 14,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108.18 : 40,659.87 = 9,577.14 : x
  2. Step 2: Convert to fraction form
    27,108.18/40,659.87 = 9,577.14/x
  3. Step 3: Cross multiply
    27,108.18x = 40,659.87 × 9,577.14
  4. Step 4: Simplify right side
    27,108.18x = 389,405,267.37
  5. Step 5: Solve for x
    x = 389,405,267.37/27,108.18
  6. Step 6: Final answer
    x = 14,364.86

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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.