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Finding the Fourth Proportional to 23,830.72, 35,734.70 and 13,973

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Solution

The fourth proportional to 23,830.72, 35,734.70 and 13,973 is: 20,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.72 : 35,734.70 = 13,973 : x
  2. Step 2: Convert to fraction form
    23,830.72/35,734.70 = 13,973/x
  3. Step 3: Cross multiply
    23,830.72x = 35,734.70 × 13,973
  4. Step 4: Simplify right side
    23,830.72x = 499,320,963.10
  5. Step 5: Solve for x
    x = 499,320,963.10/23,830.72
  6. Step 6: Final answer
    x = 20,952.83

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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.