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Finding the Fourth Proportional to 23,657.96, 32,648.22 and 13,048

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Solution

The fourth proportional to 23,657.96, 32,648.22 and 13,048 is: 18,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.96 : 32,648.22 = 13,048 : x
  2. Step 2: Convert to fraction form
    23,657.96/32,648.22 = 13,048/x
  3. Step 3: Cross multiply
    23,657.96x = 32,648.22 × 13,048
  4. Step 4: Simplify right side
    23,657.96x = 425,993,974.56
  5. Step 5: Solve for x
    x = 425,993,974.56/23,657.96
  6. Step 6: Final answer
    x = 18,006.37

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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.