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Finding the Fourth Proportional to 13,202.20, 19,781.70 and 12,424.60

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Solution

The fourth proportional to 13,202.20, 19,781.70 and 12,424.60 is: 18,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.20 : 19,781.70 = 12,424.60 : x
  2. Step 2: Convert to fraction form
    13,202.20/19,781.70 = 12,424.60/x
  3. Step 3: Cross multiply
    13,202.20x = 19,781.70 × 12,424.60
  4. Step 4: Simplify right side
    13,202.20x = 245,779,709.82
  5. Step 5: Solve for x
    x = 245,779,709.82/13,202.20
  6. Step 6: Final answer
    x = 18,616.57

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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.