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Finding the Fourth Proportional to 23,266, 34,905.40 and 6,850

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Solution

The fourth proportional to 23,266, 34,905.40 and 6,850 is: 10,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266 : 34,905.40 = 6,850 : x
  2. Step 2: Convert to fraction form
    23,266/34,905.40 = 6,850/x
  3. Step 3: Cross multiply
    23,266x = 34,905.40 × 6,850
  4. Step 4: Simplify right side
    23,266x = 239,101,990
  5. Step 5: Solve for x
    x = 239,101,990/23,266
  6. Step 6: Final answer
    x = 10,276.88

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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.