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Finding the Fourth Proportional to 12,434.78, 17,153.19 and 8,651.96

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Solution

The fourth proportional to 12,434.78, 17,153.19 and 8,651.96 is: 11,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.78 : 17,153.19 = 8,651.96 : x
  2. Step 2: Convert to fraction form
    12,434.78/17,153.19 = 8,651.96/x
  3. Step 3: Cross multiply
    12,434.78x = 17,153.19 × 8,651.96
  4. Step 4: Simplify right side
    12,434.78x = 148,408,692.31
  5. Step 5: Solve for x
    x = 148,408,692.31/12,434.78
  6. Step 6: Final answer
    x = 11,934.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.