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Finding the Fourth Proportional to 16,449.92, 22,700.96 and 8,998.08

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Solution

The fourth proportional to 16,449.92, 22,700.96 and 8,998.08 is: 12,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.92 : 22,700.96 = 8,998.08 : x
  2. Step 2: Convert to fraction form
    16,449.92/22,700.96 = 8,998.08/x
  3. Step 3: Cross multiply
    16,449.92x = 22,700.96 × 8,998.08
  4. Step 4: Simplify right side
    16,449.92x = 204,265,054.16
  5. Step 5: Solve for x
    x = 204,265,054.16/16,449.92
  6. Step 6: Final answer
    x = 12,417.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.