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Finding the Fourth Proportional to 25,902.57, 38,856.06 and 11,107.98

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Solution

The fourth proportional to 25,902.57, 38,856.06 and 11,107.98 is: 16,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.57 : 38,856.06 = 11,107.98 : x
  2. Step 2: Convert to fraction form
    25,902.57/38,856.06 = 11,107.98/x
  3. Step 3: Cross multiply
    25,902.57x = 38,856.06 × 11,107.98
  4. Step 4: Simplify right side
    25,902.57x = 431,612,337.36
  5. Step 5: Solve for x
    x = 431,612,337.36/25,902.57
  6. Step 6: Final answer
    x = 16,662.92

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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.