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Finding the Fourth Proportional to 23,131.74, 34,697.61 and 6,493.53

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Solution

The fourth proportional to 23,131.74, 34,697.61 and 6,493.53 is: 9,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131.74 : 34,697.61 = 6,493.53 : x
  2. Step 2: Convert to fraction form
    23,131.74/34,697.61 = 6,493.53/x
  3. Step 3: Cross multiply
    23,131.74x = 34,697.61 × 6,493.53
  4. Step 4: Simplify right side
    23,131.74x = 225,309,971.46
  5. Step 5: Solve for x
    x = 225,309,971.46/23,131.74
  6. Step 6: Final answer
    x = 9,740.30

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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.