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Finding the Fourth Proportional to 22,785.57, 34,178.15 and 7,203.20

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Solution

The fourth proportional to 22,785.57, 34,178.15 and 7,203.20 is: 10,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.57 : 34,178.15 = 7,203.20 : x
  2. Step 2: Convert to fraction form
    22,785.57/34,178.15 = 7,203.20/x
  3. Step 3: Cross multiply
    22,785.57x = 34,178.15 × 7,203.20
  4. Step 4: Simplify right side
    22,785.57x = 246,192,050.08
  5. Step 5: Solve for x
    x = 246,192,050.08/22,785.57
  6. Step 6: Final answer
    x = 10,804.74

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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.