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Finding the Fourth Proportional to 12,829, 17,692.68 and 8,348.62

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Solution

The fourth proportional to 12,829, 17,692.68 and 8,348.62 is: 11,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829 : 17,692.68 = 8,348.62 : x
  2. Step 2: Convert to fraction form
    12,829/17,692.68 = 8,348.62/x
  3. Step 3: Cross multiply
    12,829x = 17,692.68 × 8,348.62
  4. Step 4: Simplify right side
    12,829x = 147,709,462.10
  5. Step 5: Solve for x
    x = 147,709,462.10/12,829
  6. Step 6: Final answer
    x = 11,513.72

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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.