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Finding the Fourth Proportional to 23,720.80, 35,575.96 and 6,850.14

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Solution

The fourth proportional to 23,720.80, 35,575.96 and 6,850.14 is: 10,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.80 : 35,575.96 = 6,850.14 : x
  2. Step 2: Convert to fraction form
    23,720.80/35,575.96 = 6,850.14/x
  3. Step 3: Cross multiply
    23,720.80x = 35,575.96 × 6,850.14
  4. Step 4: Simplify right side
    23,720.80x = 243,700,306.63
  5. Step 5: Solve for x
    x = 243,700,306.63/23,720.80
  6. Step 6: Final answer
    x = 10,273.70

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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.