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Finding the Fourth Proportional to 27,406.91, 41,085.63 and 9,864.38

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Solution

The fourth proportional to 27,406.91, 41,085.63 and 9,864.38 is: 14,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.91 : 41,085.63 = 9,864.38 : x
  2. Step 2: Convert to fraction form
    27,406.91/41,085.63 = 9,864.38/x
  3. Step 3: Cross multiply
    27,406.91x = 41,085.63 × 9,864.38
  4. Step 4: Simplify right side
    27,406.91x = 405,284,061.43
  5. Step 5: Solve for x
    x = 405,284,061.43/27,406.91
  6. Step 6: Final answer
    x = 14,787.66

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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.