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Finding the Fourth Proportional to 16,242, 24,363.96 and 5,298

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Solution

The fourth proportional to 16,242, 24,363.96 and 5,298 is: 7,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242 : 24,363.96 = 5,298 : x
  2. Step 2: Convert to fraction form
    16,242/24,363.96 = 5,298/x
  3. Step 3: Cross multiply
    16,242x = 24,363.96 × 5,298
  4. Step 4: Simplify right side
    16,242x = 129,080,260.08
  5. Step 5: Solve for x
    x = 129,080,260.08/16,242
  6. Step 6: Final answer
    x = 7,947.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.