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Finding the Fourth Proportional to 27,598.24, 41,397.36 and 6,821.28

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Solution

The fourth proportional to 27,598.24, 41,397.36 and 6,821.28 is: 10,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.24 : 41,397.36 = 6,821.28 : x
  2. Step 2: Convert to fraction form
    27,598.24/41,397.36 = 6,821.28/x
  3. Step 3: Cross multiply
    27,598.24x = 41,397.36 × 6,821.28
  4. Step 4: Simplify right side
    27,598.24x = 282,382,983.82
  5. Step 5: Solve for x
    x = 282,382,983.82/27,598.24
  6. Step 6: Final answer
    x = 10,231.92

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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.