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Finding the Fourth Proportional to 25,832.80, 38,752.44 and 8,302.24

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Solution

The fourth proportional to 25,832.80, 38,752.44 and 8,302.24 is: 12,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.80 : 38,752.44 = 8,302.24 : x
  2. Step 2: Convert to fraction form
    25,832.80/38,752.44 = 8,302.24/x
  3. Step 3: Cross multiply
    25,832.80x = 38,752.44 × 8,302.24
  4. Step 4: Simplify right side
    25,832.80x = 321,732,057.47
  5. Step 5: Solve for x
    x = 321,732,057.47/25,832.80
  6. Step 6: Final answer
    x = 12,454.40

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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.