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Finding the Fourth Proportional to 19,981.60, 29,972.40 and 5,190.40

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Solution

The fourth proportional to 19,981.60, 29,972.40 and 5,190.40 is: 7,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.60 : 29,972.40 = 5,190.40 : x
  2. Step 2: Convert to fraction form
    19,981.60/29,972.40 = 5,190.40/x
  3. Step 3: Cross multiply
    19,981.60x = 29,972.40 × 5,190.40
  4. Step 4: Simplify right side
    19,981.60x = 155,568,744.96
  5. Step 5: Solve for x
    x = 155,568,744.96/19,981.60
  6. Step 6: Final answer
    x = 7,785.60

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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.