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Finding the Fourth Proportional to 22,964.02, 34,433.10 and 7,964.11

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Solution

The fourth proportional to 22,964.02, 34,433.10 and 7,964.11 is: 11,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.02 : 34,433.10 = 7,964.11 : x
  2. Step 2: Convert to fraction form
    22,964.02/34,433.10 = 7,964.11/x
  3. Step 3: Cross multiply
    22,964.02x = 34,433.10 × 7,964.11
  4. Step 4: Simplify right side
    22,964.02x = 274,228,996.04
  5. Step 5: Solve for x
    x = 274,228,996.04/22,964.02
  6. Step 6: Final answer
    x = 11,941.68

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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.