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Finding the Fourth Proportional to 25,500.64, 38,257.11 and 8,858.25

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Solution

The fourth proportional to 25,500.64, 38,257.11 and 8,858.25 is: 13,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.64 : 38,257.11 = 8,858.25 : x
  2. Step 2: Convert to fraction form
    25,500.64/38,257.11 = 8,858.25/x
  3. Step 3: Cross multiply
    25,500.64x = 38,257.11 × 8,858.25
  4. Step 4: Simplify right side
    25,500.64x = 338,891,152.26
  5. Step 5: Solve for x
    x = 338,891,152.26/25,500.64
  6. Step 6: Final answer
    x = 13,289.52

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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.