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Finding the Fourth Proportional to 16,819.17, 23,042.37 and 16,188.57

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Solution

The fourth proportional to 16,819.17, 23,042.37 and 16,188.57 is: 22,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.17 : 23,042.37 = 16,188.57 : x
  2. Step 2: Convert to fraction form
    16,819.17/23,042.37 = 16,188.57/x
  3. Step 3: Cross multiply
    16,819.17x = 23,042.37 × 16,188.57
  4. Step 4: Simplify right side
    16,819.17x = 373,023,019.71
  5. Step 5: Solve for x
    x = 373,023,019.71/16,819.17
  6. Step 6: Final answer
    x = 22,178.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.