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Finding the Fourth Proportional to 23,797, 35,695.50 and 9,946

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Solution

The fourth proportional to 23,797, 35,695.50 and 9,946 is: 14,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797 : 35,695.50 = 9,946 : x
  2. Step 2: Convert to fraction form
    23,797/35,695.50 = 9,946/x
  3. Step 3: Cross multiply
    23,797x = 35,695.50 × 9,946
  4. Step 4: Simplify right side
    23,797x = 355,027,443
  5. Step 5: Solve for x
    x = 355,027,443/23,797
  6. Step 6: Final answer
    x = 14,919

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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.