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Finding the Fourth Proportional to 18,912.04, 26,098.68 and 10,414

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Solution

The fourth proportional to 18,912.04, 26,098.68 and 10,414 is: 14,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,912.04 : 26,098.68 = 10,414 : x
  2. Step 2: Convert to fraction form
    18,912.04/26,098.68 = 10,414/x
  3. Step 3: Cross multiply
    18,912.04x = 26,098.68 × 10,414
  4. Step 4: Simplify right side
    18,912.04x = 271,791,653.52
  5. Step 5: Solve for x
    x = 271,791,653.52/18,912.04
  6. Step 6: Final answer
    x = 14,371.36

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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.