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Finding the Fourth Proportional to 23,035.31, 34,553.16 and 6,396.64

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Solution

The fourth proportional to 23,035.31, 34,553.16 and 6,396.64 is: 9,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.31 : 34,553.16 = 6,396.64 : x
  2. Step 2: Convert to fraction form
    23,035.31/34,553.16 = 6,396.64/x
  3. Step 3: Cross multiply
    23,035.31x = 34,553.16 × 6,396.64
  4. Step 4: Simplify right side
    23,035.31x = 221,024,023.01
  5. Step 5: Solve for x
    x = 221,024,023.01/23,035.31
  6. Step 6: Final answer
    x = 9,595.01

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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.