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Finding the Fourth Proportional to 20,765.79, 31,154.13 and 7,618.26

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Solution

The fourth proportional to 20,765.79, 31,154.13 and 7,618.26 is: 11,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.79 : 31,154.13 = 7,618.26 : x
  2. Step 2: Convert to fraction form
    20,765.79/31,154.13 = 7,618.26/x
  3. Step 3: Cross multiply
    20,765.79x = 31,154.13 × 7,618.26
  4. Step 4: Simplify right side
    20,765.79x = 237,340,262.41
  5. Step 5: Solve for x
    x = 237,340,262.41/20,765.79
  6. Step 6: Final answer
    x = 11,429.39

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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.