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Finding the Fourth Proportional to 22,785.58, 34,178.14 and 7,203.20

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Solution

The fourth proportional to 22,785.58, 34,178.14 and 7,203.20 is: 10,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.58 : 34,178.14 = 7,203.20 : x
  2. Step 2: Convert to fraction form
    22,785.58/34,178.14 = 7,203.20/x
  3. Step 3: Cross multiply
    22,785.58x = 34,178.14 × 7,203.20
  4. Step 4: Simplify right side
    22,785.58x = 246,191,978.05
  5. Step 5: Solve for x
    x = 246,191,978.05/22,785.58
  6. Step 6: Final answer
    x = 10,804.73

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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.