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Finding the Fourth Proportional to 23,912.10, 32,998.50 and 13,301.64

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Solution

The fourth proportional to 23,912.10, 32,998.50 and 13,301.64 is: 18,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912.10 : 32,998.50 = 13,301.64 : x
  2. Step 2: Convert to fraction form
    23,912.10/32,998.50 = 13,301.64/x
  3. Step 3: Cross multiply
    23,912.10x = 32,998.50 × 13,301.64
  4. Step 4: Simplify right side
    23,912.10x = 438,934,167.54
  5. Step 5: Solve for x
    x = 438,934,167.54/23,912.10
  6. Step 6: Final answer
    x = 18,356.15

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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.