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Finding the Fourth Proportional to 23,695.34, 35,542.83 and 9,844.34

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Solution

The fourth proportional to 23,695.34, 35,542.83 and 9,844.34 is: 14,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.34 : 35,542.83 = 9,844.34 : x
  2. Step 2: Convert to fraction form
    23,695.34/35,542.83 = 9,844.34/x
  3. Step 3: Cross multiply
    23,695.34x = 35,542.83 × 9,844.34
  4. Step 4: Simplify right side
    23,695.34x = 349,895,703.08
  5. Step 5: Solve for x
    x = 349,895,703.08/23,695.34
  6. Step 6: Final answer
    x = 14,766.44

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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.