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Finding the Fourth Proportional to 17,677.45, 26,509.80 and 5,194.14

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Solution

The fourth proportional to 17,677.45, 26,509.80 and 5,194.14 is: 7,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.45 : 26,509.80 = 5,194.14 : x
  2. Step 2: Convert to fraction form
    17,677.45/26,509.80 = 5,194.14/x
  3. Step 3: Cross multiply
    17,677.45x = 26,509.80 × 5,194.14
  4. Step 4: Simplify right side
    17,677.45x = 137,695,503.42
  5. Step 5: Solve for x
    x = 137,695,503.42/17,677.45
  6. Step 6: Final answer
    x = 7,789.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.