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Finding the Fourth Proportional to 23,366, 35,049.24 and 6,950

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Solution

The fourth proportional to 23,366, 35,049.24 and 6,950 is: 10,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366 : 35,049.24 = 6,950 : x
  2. Step 2: Convert to fraction form
    23,366/35,049.24 = 6,950/x
  3. Step 3: Cross multiply
    23,366x = 35,049.24 × 6,950
  4. Step 4: Simplify right side
    23,366x = 243,592,218
  5. Step 5: Solve for x
    x = 243,592,218/23,366
  6. Step 6: Final answer
    x = 10,425.07

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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.