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Finding the Fourth Proportional to 23,775.91, 32,810.75 and 13,165.54

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Solution

The fourth proportional to 23,775.91, 32,810.75 and 13,165.54 is: 18,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.91 : 32,810.75 = 13,165.54 : x
  2. Step 2: Convert to fraction form
    23,775.91/32,810.75 = 13,165.54/x
  3. Step 3: Cross multiply
    23,775.91x = 32,810.75 × 13,165.54
  4. Step 4: Simplify right side
    23,775.91x = 431,971,241.56
  5. Step 5: Solve for x
    x = 431,971,241.56/23,775.91
  6. Step 6: Final answer
    x = 18,168.44

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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.