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Finding the Fourth Proportional to 21,785.57, 32,678.34 and 6,203.19

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Solution

The fourth proportional to 21,785.57, 32,678.34 and 6,203.19 is: 9,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.57 : 32,678.34 = 6,203.19 : x
  2. Step 2: Convert to fraction form
    21,785.57/32,678.34 = 6,203.19/x
  3. Step 3: Cross multiply
    21,785.57x = 32,678.34 × 6,203.19
  4. Step 4: Simplify right side
    21,785.57x = 202,709,951.90
  5. Step 5: Solve for x
    x = 202,709,951.90/21,785.57
  6. Step 6: Final answer
    x = 9,304.78

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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.