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Finding the Fourth Proportional to 25,815.20, 38,722.80 and 10,232.80

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Solution

The fourth proportional to 25,815.20, 38,722.80 and 10,232.80 is: 15,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815.20 : 38,722.80 = 10,232.80 : x
  2. Step 2: Convert to fraction form
    25,815.20/38,722.80 = 10,232.80/x
  3. Step 3: Cross multiply
    25,815.20x = 38,722.80 × 10,232.80
  4. Step 4: Simplify right side
    25,815.20x = 396,242,667.84
  5. Step 5: Solve for x
    x = 396,242,667.84/25,815.20
  6. Step 6: Final answer
    x = 15,349.20

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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.