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Finding the Fourth Proportional to 23,633.62, 35,442.12 and 6,989.20

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Solution

The fourth proportional to 23,633.62, 35,442.12 and 6,989.20 is: 10,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.62 : 35,442.12 = 6,989.20 : x
  2. Step 2: Convert to fraction form
    23,633.62/35,442.12 = 6,989.20/x
  3. Step 3: Cross multiply
    23,633.62x = 35,442.12 × 6,989.20
  4. Step 4: Simplify right side
    23,633.62x = 247,712,065.10
  5. Step 5: Solve for x
    x = 247,712,065.10/23,633.62
  6. Step 6: Final answer
    x = 10,481.34

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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.