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Finding the Fourth Proportional to 27,616.24, 41,424.12 and 18,298

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Solution

The fourth proportional to 27,616.24, 41,424.12 and 18,298 is: 27,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.24 : 41,424.12 = 18,298 : x
  2. Step 2: Convert to fraction form
    27,616.24/41,424.12 = 18,298/x
  3. Step 3: Cross multiply
    27,616.24x = 41,424.12 × 18,298
  4. Step 4: Simplify right side
    27,616.24x = 757,978,547.76
  5. Step 5: Solve for x
    x = 757,978,547.76/27,616.24
  6. Step 6: Final answer
    x = 27,446.84

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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.