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Finding the Fourth Proportional to 16,892.80, 25,346.40 and 8,123.20

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Solution

The fourth proportional to 16,892.80, 25,346.40 and 8,123.20 is: 12,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,892.80 : 25,346.40 = 8,123.20 : x
  2. Step 2: Convert to fraction form
    16,892.80/25,346.40 = 8,123.20/x
  3. Step 3: Cross multiply
    16,892.80x = 25,346.40 × 8,123.20
  4. Step 4: Simplify right side
    16,892.80x = 205,893,876.48
  5. Step 5: Solve for x
    x = 205,893,876.48/16,892.80
  6. Step 6: Final answer
    x = 12,188.26

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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.