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Finding the Fourth Proportional to 25,102.40, 37,651.56 and 8,462.08

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Solution

The fourth proportional to 25,102.40, 37,651.56 and 8,462.08 is: 12,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.40 : 37,651.56 = 8,462.08 : x
  2. Step 2: Convert to fraction form
    25,102.40/37,651.56 = 8,462.08/x
  3. Step 3: Cross multiply
    25,102.40x = 37,651.56 × 8,462.08
  4. Step 4: Simplify right side
    25,102.40x = 318,610,324.59
  5. Step 5: Solve for x
    x = 318,610,324.59/25,102.40
  6. Step 6: Final answer
    x = 12,692.42

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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.