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Finding the Fourth Proportional to 20,419.83, 30,632.67 and 7,269.08

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Solution

The fourth proportional to 20,419.83, 30,632.67 and 7,269.08 is: 10,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.83 : 30,632.67 = 7,269.08 : x
  2. Step 2: Convert to fraction form
    20,419.83/30,632.67 = 7,269.08/x
  3. Step 3: Cross multiply
    20,419.83x = 30,632.67 × 7,269.08
  4. Step 4: Simplify right side
    20,419.83x = 222,671,175.68
  5. Step 5: Solve for x
    x = 222,671,175.68/20,419.83
  6. Step 6: Final answer
    x = 10,904.65

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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.