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Finding the Fourth Proportional to 23,832.78, 32,889.84 and 13,078.11

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Solution

The fourth proportional to 23,832.78, 32,889.84 and 13,078.11 is: 18,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.78 : 32,889.84 = 13,078.11 : x
  2. Step 2: Convert to fraction form
    23,832.78/32,889.84 = 13,078.11/x
  3. Step 3: Cross multiply
    23,832.78x = 32,889.84 × 13,078.11
  4. Step 4: Simplify right side
    23,832.78x = 430,136,945.40
  5. Step 5: Solve for x
    x = 430,136,945.40/23,832.78
  6. Step 6: Final answer
    x = 18,048.12

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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.