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Finding the Fourth Proportional to 23,751.68, 32,778.60 and 13,141.76

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Solution

The fourth proportional to 23,751.68, 32,778.60 and 13,141.76 is: 18,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.68 : 32,778.60 = 13,141.76 : x
  2. Step 2: Convert to fraction form
    23,751.68/32,778.60 = 13,141.76/x
  3. Step 3: Cross multiply
    23,751.68x = 32,778.60 × 13,141.76
  4. Step 4: Simplify right side
    23,751.68x = 430,768,494.34
  5. Step 5: Solve for x
    x = 430,768,494.34/23,751.68
  6. Step 6: Final answer
    x = 18,136.34

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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.