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Finding the Fourth Proportional to 16,292.96, 24,423.04 and 6,439.24

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Solution

The fourth proportional to 16,292.96, 24,423.04 and 6,439.24 is: 9,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.96 : 24,423.04 = 6,439.24 : x
  2. Step 2: Convert to fraction form
    16,292.96/24,423.04 = 6,439.24/x
  3. Step 3: Cross multiply
    16,292.96x = 24,423.04 × 6,439.24
  4. Step 4: Simplify right side
    16,292.96x = 157,265,816.09
  5. Step 5: Solve for x
    x = 157,265,816.09/16,292.96
  6. Step 6: Final answer
    x = 9,652.38

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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.