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Finding the Fourth Proportional to 23,165.42, 31,968.15 and 12,555.05

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Solution

The fourth proportional to 23,165.42, 31,968.15 and 12,555.05 is: 17,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.42 : 31,968.15 = 12,555.05 : x
  2. Step 2: Convert to fraction form
    23,165.42/31,968.15 = 12,555.05/x
  3. Step 3: Cross multiply
    23,165.42x = 31,968.15 × 12,555.05
  4. Step 4: Simplify right side
    23,165.42x = 401,361,721.66
  5. Step 5: Solve for x
    x = 401,361,721.66/23,165.42
  6. Step 6: Final answer
    x = 17,325.90

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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.