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Finding the Fourth Proportional to 20,508.26, 30,775.34 and 11,760.26

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Solution

The fourth proportional to 20,508.26, 30,775.34 and 11,760.26 is: 17,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.26 : 30,775.34 = 11,760.26 : x
  2. Step 2: Convert to fraction form
    20,508.26/30,775.34 = 11,760.26/x
  3. Step 3: Cross multiply
    20,508.26x = 30,775.34 × 11,760.26
  4. Step 4: Simplify right side
    20,508.26x = 361,925,875.51
  5. Step 5: Solve for x
    x = 361,925,875.51/20,508.26
  6. Step 6: Final answer
    x = 17,647.81

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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.