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Finding the Fourth Proportional to 20,293.93, 30,433.60 and 7,807.68

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Solution

The fourth proportional to 20,293.93, 30,433.60 and 7,807.68 is: 11,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293.93 : 30,433.60 = 7,807.68 : x
  2. Step 2: Convert to fraction form
    20,293.93/30,433.60 = 7,807.68/x
  3. Step 3: Cross multiply
    20,293.93x = 30,433.60 × 7,807.68
  4. Step 4: Simplify right side
    20,293.93x = 237,615,810.05
  5. Step 5: Solve for x
    x = 237,615,810.05/20,293.93
  6. Step 6: Final answer
    x = 11,708.71

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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.