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Finding the Fourth Proportional to 13,219.20, 19,699.20 and 12,052.80

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Solution

The fourth proportional to 13,219.20, 19,699.20 and 12,052.80 is: 17,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.20 : 19,699.20 = 12,052.80 : x
  2. Step 2: Convert to fraction form
    13,219.20/19,699.20 = 12,052.80/x
  3. Step 3: Cross multiply
    13,219.20x = 19,699.20 × 12,052.80
  4. Step 4: Simplify right side
    13,219.20x = 237,430,517.76
  5. Step 5: Solve for x
    x = 237,430,517.76/13,219.20
  6. Step 6: Final answer
    x = 17,961.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.