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Finding the Fourth Proportional to 22,783.58, 34,175.14 and 7,201.20

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Solution

The fourth proportional to 22,783.58, 34,175.14 and 7,201.20 is: 10,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.58 : 34,175.14 = 7,201.20 : x
  2. Step 2: Convert to fraction form
    22,783.58/34,175.14 = 7,201.20/x
  3. Step 3: Cross multiply
    22,783.58x = 34,175.14 × 7,201.20
  4. Step 4: Simplify right side
    22,783.58x = 246,102,018.17
  5. Step 5: Solve for x
    x = 246,102,018.17/22,783.58
  6. Step 6: Final answer
    x = 10,801.73

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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.