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Finding the Fourth Proportional to 13,138.20, 19,692.18 and 6,569.10

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Solution

The fourth proportional to 13,138.20, 19,692.18 and 6,569.10 is: 9,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.20 : 19,692.18 = 6,569.10 : x
  2. Step 2: Convert to fraction form
    13,138.20/19,692.18 = 6,569.10/x
  3. Step 3: Cross multiply
    13,138.20x = 19,692.18 × 6,569.10
  4. Step 4: Simplify right side
    13,138.20x = 129,359,899.64
  5. Step 5: Solve for x
    x = 129,359,899.64/13,138.20
  6. Step 6: Final answer
    x = 9,846.09

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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.