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Finding the Fourth Proportional to 23,797.56, 32,840.53 and 13,187.17

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Solution

The fourth proportional to 23,797.56, 32,840.53 and 13,187.17 is: 18,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.56 : 32,840.53 = 13,187.17 : x
  2. Step 2: Convert to fraction form
    23,797.56/32,840.53 = 13,187.17/x
  3. Step 3: Cross multiply
    23,797.56x = 32,840.53 × 13,187.17
  4. Step 4: Simplify right side
    23,797.56x = 433,073,536.93
  5. Step 5: Solve for x
    x = 433,073,536.93/23,797.56
  6. Step 6: Final answer
    x = 18,198.23

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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.