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Finding the Fourth Proportional to 25,102.31, 37,651.37 and 8,461.95

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Solution

The fourth proportional to 25,102.31, 37,651.37 and 8,461.95 is: 12,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.31 : 37,651.37 = 8,461.95 : x
  2. Step 2: Convert to fraction form
    25,102.31/37,651.37 = 8,461.95/x
  3. Step 3: Cross multiply
    25,102.31x = 37,651.37 × 8,461.95
  4. Step 4: Simplify right side
    25,102.31x = 318,603,968.06
  5. Step 5: Solve for x
    x = 318,603,968.06/25,102.31
  6. Step 6: Final answer
    x = 12,692.22

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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.