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Finding the Fourth Proportional to 25,633.88, 38,451.98 and 7,863.24

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Solution

The fourth proportional to 25,633.88, 38,451.98 and 7,863.24 is: 11,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633.88 : 38,451.98 = 7,863.24 : x
  2. Step 2: Convert to fraction form
    25,633.88/38,451.98 = 7,863.24/x
  3. Step 3: Cross multiply
    25,633.88x = 38,451.98 × 7,863.24
  4. Step 4: Simplify right side
    25,633.88x = 302,357,147.22
  5. Step 5: Solve for x
    x = 302,357,147.22/25,633.88
  6. Step 6: Final answer
    x = 11,795.22

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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.