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Finding the Fourth Proportional to 17,822.70, 26,734.05 and 16,656.30

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Solution

The fourth proportional to 17,822.70, 26,734.05 and 16,656.30 is: 24,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.70 : 26,734.05 = 16,656.30 : x
  2. Step 2: Convert to fraction form
    17,822.70/26,734.05 = 16,656.30/x
  3. Step 3: Cross multiply
    17,822.70x = 26,734.05 × 16,656.30
  4. Step 4: Simplify right side
    17,822.70x = 445,290,357.02
  5. Step 5: Solve for x
    x = 445,290,357.02/17,822.70
  6. Step 6: Final answer
    x = 24,984.45

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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.