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Finding the Fourth Proportional to 27,805.68, 41,707.44 and 10,275.12

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Solution

The fourth proportional to 27,805.68, 41,707.44 and 10,275.12 is: 15,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.68 : 41,707.44 = 10,275.12 : x
  2. Step 2: Convert to fraction form
    27,805.68/41,707.44 = 10,275.12/x
  3. Step 3: Cross multiply
    27,805.68x = 41,707.44 × 10,275.12
  4. Step 4: Simplify right side
    27,805.68x = 428,548,950.89
  5. Step 5: Solve for x
    x = 428,548,950.89/27,805.68
  6. Step 6: Final answer
    x = 15,412.28

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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.