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Finding the Fourth Proportional to 20,823.42, 31,228.65 and 6,033.36

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Solution

The fourth proportional to 20,823.42, 31,228.65 and 6,033.36 is: 9,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.42 : 31,228.65 = 6,033.36 : x
  2. Step 2: Convert to fraction form
    20,823.42/31,228.65 = 6,033.36/x
  3. Step 3: Cross multiply
    20,823.42x = 31,228.65 × 6,033.36
  4. Step 4: Simplify right side
    20,823.42x = 188,413,687.76
  5. Step 5: Solve for x
    x = 188,413,687.76/20,823.42
  6. Step 6: Final answer
    x = 9,048.16

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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.