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Finding the Fourth Proportional to 26,006.10, 38,983.11 and 12,868.02

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Solution

The fourth proportional to 26,006.10, 38,983.11 and 12,868.02 is: 19,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.10 : 38,983.11 = 12,868.02 : x
  2. Step 2: Convert to fraction form
    26,006.10/38,983.11 = 12,868.02/x
  3. Step 3: Cross multiply
    26,006.10x = 38,983.11 × 12,868.02
  4. Step 4: Simplify right side
    26,006.10x = 501,635,439.14
  5. Step 5: Solve for x
    x = 501,635,439.14/26,006.10
  6. Step 6: Final answer
    x = 19,289.15

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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.