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Finding the Fourth Proportional to 17,897.76, 26,819.00 and 6,798.43

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Solution

The fourth proportional to 17,897.76, 26,819.00 and 6,798.43 is: 10,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.76 : 26,819.00 = 6,798.43 : x
  2. Step 2: Convert to fraction form
    17,897.76/26,819.00 = 6,798.43/x
  3. Step 3: Cross multiply
    17,897.76x = 26,819.00 × 6,798.43
  4. Step 4: Simplify right side
    17,897.76x = 182,327,119.20
  5. Step 5: Solve for x
    x = 182,327,119.20/17,897.76
  6. Step 6: Final answer
    x = 10,187.15

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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.