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Finding the Fourth Proportional to 22,805.14, 31,468.69 and 13,243.16

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Solution

The fourth proportional to 22,805.14, 31,468.69 and 13,243.16 is: 18,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.14 : 31,468.69 = 13,243.16 : x
  2. Step 2: Convert to fraction form
    22,805.14/31,468.69 = 13,243.16/x
  3. Step 3: Cross multiply
    22,805.14x = 31,468.69 × 13,243.16
  4. Step 4: Simplify right side
    22,805.14x = 416,744,896.66
  5. Step 5: Solve for x
    x = 416,744,896.66/22,805.14
  6. Step 6: Final answer
    x = 18,274.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.