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Finding the Fourth Proportional to 23,305.50, 32,162.13 and 13,232.34

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Solution

The fourth proportional to 23,305.50, 32,162.13 and 13,232.34 is: 18,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.50 : 32,162.13 = 13,232.34 : x
  2. Step 2: Convert to fraction form
    23,305.50/32,162.13 = 13,232.34/x
  3. Step 3: Cross multiply
    23,305.50x = 32,162.13 × 13,232.34
  4. Step 4: Simplify right side
    23,305.50x = 425,580,239.28
  5. Step 5: Solve for x
    x = 425,580,239.28/23,305.50
  6. Step 6: Final answer
    x = 18,260.94

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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.