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Finding the Fourth Proportional to 20,033.74, 30,052.68 and 7,564.27

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Solution

The fourth proportional to 20,033.74, 30,052.68 and 7,564.27 is: 11,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.74 : 30,052.68 = 7,564.27 : x
  2. Step 2: Convert to fraction form
    20,033.74/30,052.68 = 7,564.27/x
  3. Step 3: Cross multiply
    20,033.74x = 30,052.68 × 7,564.27
  4. Step 4: Simplify right side
    20,033.74x = 227,326,585.74
  5. Step 5: Solve for x
    x = 227,326,585.74/20,033.74
  6. Step 6: Final answer
    x = 11,347.19

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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.