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Finding the Fourth Proportional to 23,749.92, 32,774.40 and 13,138.92

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Solution

The fourth proportional to 23,749.92, 32,774.40 and 13,138.92 is: 18,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749.92 : 32,774.40 = 13,138.92 : x
  2. Step 2: Convert to fraction form
    23,749.92/32,774.40 = 13,138.92/x
  3. Step 3: Cross multiply
    23,749.92x = 32,774.40 × 13,138.92
  4. Step 4: Simplify right side
    23,749.92x = 430,620,219.65
  5. Step 5: Solve for x
    x = 430,620,219.65/23,749.92
  6. Step 6: Final answer
    x = 18,131.44

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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.