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Finding the Fourth Proportional to 27,424.28, 41,127.92 and 9,891.84

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Solution

The fourth proportional to 27,424.28, 41,127.92 and 9,891.84 is: 14,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.28 : 41,127.92 = 9,891.84 : x
  2. Step 2: Convert to fraction form
    27,424.28/41,127.92 = 9,891.84/x
  3. Step 3: Cross multiply
    27,424.28x = 41,127.92 × 9,891.84
  4. Step 4: Simplify right side
    27,424.28x = 406,830,804.17
  5. Step 5: Solve for x
    x = 406,830,804.17/27,424.28
  6. Step 6: Final answer
    x = 14,834.69

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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.