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Finding the Fourth Proportional to 16,988.90, 25,493.38 and 6,467.78

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Solution

The fourth proportional to 16,988.90, 25,493.38 and 6,467.78 is: 9,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,988.90 : 25,493.38 = 6,467.78 : x
  2. Step 2: Convert to fraction form
    16,988.90/25,493.38 = 6,467.78/x
  3. Step 3: Cross multiply
    16,988.90x = 25,493.38 × 6,467.78
  4. Step 4: Simplify right side
    16,988.90x = 164,885,620.86
  5. Step 5: Solve for x
    x = 164,885,620.86/16,988.90
  6. Step 6: Final answer
    x = 9,705.49

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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.