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Finding the Fourth Proportional to 27,165.38, 40,754.19 and 9,635.18

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Solution

The fourth proportional to 27,165.38, 40,754.19 and 9,635.18 is: 14,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.38 : 40,754.19 = 9,635.18 : x
  2. Step 2: Convert to fraction form
    27,165.38/40,754.19 = 9,635.18/x
  3. Step 3: Cross multiply
    27,165.38x = 40,754.19 × 9,635.18
  4. Step 4: Simplify right side
    27,165.38x = 392,673,956.40
  5. Step 5: Solve for x
    x = 392,673,956.40/27,165.38
  6. Step 6: Final answer
    x = 14,454.94

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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.