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Finding the Fourth Proportional to 23,751.74, 32,777.24 and 13,141.14

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Solution

The fourth proportional to 23,751.74, 32,777.24 and 13,141.14 is: 18,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.74 : 32,777.24 = 13,141.14 : x
  2. Step 2: Convert to fraction form
    23,751.74/32,777.24 = 13,141.14/x
  3. Step 3: Cross multiply
    23,751.74x = 32,777.24 × 13,141.14
  4. Step 4: Simplify right side
    23,751.74x = 430,730,299.65
  5. Step 5: Solve for x
    x = 430,730,299.65/23,751.74
  6. Step 6: Final answer
    x = 18,134.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.