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Finding the Fourth Proportional to 13,207.40, 19,767.90 and 10,269.80

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Solution

The fourth proportional to 13,207.40, 19,767.90 and 10,269.80 is: 15,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.40 : 19,767.90 = 10,269.80 : x
  2. Step 2: Convert to fraction form
    13,207.40/19,767.90 = 10,269.80/x
  3. Step 3: Cross multiply
    13,207.40x = 19,767.90 × 10,269.80
  4. Step 4: Simplify right side
    13,207.40x = 203,012,379.42
  5. Step 5: Solve for x
    x = 203,012,379.42/13,207.40
  6. Step 6: Final answer
    x = 15,371.11

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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.