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Finding the Fourth Proportional to 16,989.32, 25,481.68 and 6,462

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Solution

The fourth proportional to 16,989.32, 25,481.68 and 6,462 is: 9,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989.32 : 25,481.68 = 6,462 : x
  2. Step 2: Convert to fraction form
    16,989.32/25,481.68 = 6,462/x
  3. Step 3: Cross multiply
    16,989.32x = 25,481.68 × 6,462
  4. Step 4: Simplify right side
    16,989.32x = 164,662,616.16
  5. Step 5: Solve for x
    x = 164,662,616.16/16,989.32
  6. Step 6: Final answer
    x = 9,692.13

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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.