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Finding the Fourth Proportional to 25,519.24, 38,262.24 and 8,878

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Solution

The fourth proportional to 25,519.24, 38,262.24 and 8,878 is: 13,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,519.24 : 38,262.24 = 8,878 : x
  2. Step 2: Convert to fraction form
    25,519.24/38,262.24 = 8,878/x
  3. Step 3: Cross multiply
    25,519.24x = 38,262.24 × 8,878
  4. Step 4: Simplify right side
    25,519.24x = 339,692,166.72
  5. Step 5: Solve for x
    x = 339,692,166.72/25,519.24
  6. Step 6: Final answer
    x = 13,311.22

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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.