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Finding the Fourth Proportional to 23,728.11, 32,745.02 and 13,117.47

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Solution

The fourth proportional to 23,728.11, 32,745.02 and 13,117.47 is: 18,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.11 : 32,745.02 = 13,117.47 : x
  2. Step 2: Convert to fraction form
    23,728.11/32,745.02 = 13,117.47/x
  3. Step 3: Cross multiply
    23,728.11x = 32,745.02 × 13,117.47
  4. Step 4: Simplify right side
    23,728.11x = 429,531,751.91
  5. Step 5: Solve for x
    x = 429,531,751.91/23,728.11
  6. Step 6: Final answer
    x = 18,102.23

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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.