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Finding the Fourth Proportional to 20,506.78, 30,760.15 and 11,735.59

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Solution

The fourth proportional to 20,506.78, 30,760.15 and 11,735.59 is: 17,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.78 : 30,760.15 = 11,735.59 : x
  2. Step 2: Convert to fraction form
    20,506.78/30,760.15 = 11,735.59/x
  3. Step 3: Cross multiply
    20,506.78x = 30,760.15 × 11,735.59
  4. Step 4: Simplify right side
    20,506.78x = 360,988,508.74
  5. Step 5: Solve for x
    x = 360,988,508.74/20,506.78
  6. Step 6: Final answer
    x = 17,603.37

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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.