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Finding the Fourth Proportional to 27,713.12, 41,569.70 and 7,721.81

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Solution

The fourth proportional to 27,713.12, 41,569.70 and 7,721.81 is: 11,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.12 : 41,569.70 = 7,721.81 : x
  2. Step 2: Convert to fraction form
    27,713.12/41,569.70 = 7,721.81/x
  3. Step 3: Cross multiply
    27,713.12x = 41,569.70 × 7,721.81
  4. Step 4: Simplify right side
    27,713.12x = 320,993,286.55
  5. Step 5: Solve for x
    x = 320,993,286.55/27,713.12
  6. Step 6: Final answer
    x = 11,582.72

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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.