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Finding the Fourth Proportional to 16,022.40, 24,019.20 and 10,478.40

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Solution

The fourth proportional to 16,022.40, 24,019.20 and 10,478.40 is: 15,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.40 : 24,019.20 = 10,478.40 : x
  2. Step 2: Convert to fraction form
    16,022.40/24,019.20 = 10,478.40/x
  3. Step 3: Cross multiply
    16,022.40x = 24,019.20 × 10,478.40
  4. Step 4: Simplify right side
    16,022.40x = 251,682,785.28
  5. Step 5: Solve for x
    x = 251,682,785.28/16,022.40
  6. Step 6: Final answer
    x = 15,708.18

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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.