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Finding the Fourth Proportional to 19,719.40, 29,568.30 and 8,019.40

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Solution

The fourth proportional to 19,719.40, 29,568.30 and 8,019.40 is: 12,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.40 : 29,568.30 = 8,019.40 : x
  2. Step 2: Convert to fraction form
    19,719.40/29,568.30 = 8,019.40/x
  3. Step 3: Cross multiply
    19,719.40x = 29,568.30 × 8,019.40
  4. Step 4: Simplify right side
    19,719.40x = 237,120,025.02
  5. Step 5: Solve for x
    x = 237,120,025.02/19,719.40
  6. Step 6: Final answer
    x = 12,024.71

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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.