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Finding the Fourth Proportional to 23,751.81, 32,777.28 and 13,141.22

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Solution

The fourth proportional to 23,751.81, 32,777.28 and 13,141.22 is: 18,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.81 : 32,777.28 = 13,141.22 : x
  2. Step 2: Convert to fraction form
    23,751.81/32,777.28 = 13,141.22/x
  3. Step 3: Cross multiply
    23,751.81x = 32,777.28 × 13,141.22
  4. Step 4: Simplify right side
    23,751.81x = 430,733,283.60
  5. Step 5: Solve for x
    x = 430,733,283.60/23,751.81
  6. Step 6: Final answer
    x = 18,134.76

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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.