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Finding the Fourth Proportional to 25,808.96, 38,722.08 and 10,231.04

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Solution

The fourth proportional to 25,808.96, 38,722.08 and 10,231.04 is: 15,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,808.96 : 38,722.08 = 10,231.04 : x
  2. Step 2: Convert to fraction form
    25,808.96/38,722.08 = 10,231.04/x
  3. Step 3: Cross multiply
    25,808.96x = 38,722.08 × 10,231.04
  4. Step 4: Simplify right side
    25,808.96x = 396,167,149.36
  5. Step 5: Solve for x
    x = 396,167,149.36/25,808.96
  6. Step 6: Final answer
    x = 15,349.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.