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Finding the Fourth Proportional to 27,713.62, 41,570.45 and 7,722.31

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Solution

The fourth proportional to 27,713.62, 41,570.45 and 7,722.31 is: 11,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.62 : 41,570.45 = 7,722.31 : x
  2. Step 2: Convert to fraction form
    27,713.62/41,570.45 = 7,722.31/x
  3. Step 3: Cross multiply
    27,713.62x = 41,570.45 × 7,722.31
  4. Step 4: Simplify right side
    27,713.62x = 321,019,901.74
  5. Step 5: Solve for x
    x = 321,019,901.74/27,713.62
  6. Step 6: Final answer
    x = 11,583.47

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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.