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Finding the Fourth Proportional to 17,857.60, 26,790.18 and 6,764.08

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Solution

The fourth proportional to 17,857.60, 26,790.18 and 6,764.08 is: 10,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.60 : 26,790.18 = 6,764.08 : x
  2. Step 2: Convert to fraction form
    17,857.60/26,790.18 = 6,764.08/x
  3. Step 3: Cross multiply
    17,857.60x = 26,790.18 × 6,764.08
  4. Step 4: Simplify right side
    17,857.60x = 181,210,920.73
  5. Step 5: Solve for x
    x = 181,210,920.73/17,857.60
  6. Step 6: Final answer
    x = 10,147.55

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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.