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Finding the Fourth Proportional to 23,035, 31,788.48 and 13,099

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Solution

The fourth proportional to 23,035, 31,788.48 and 13,099 is: 18,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035 : 31,788.48 = 13,099 : x
  2. Step 2: Convert to fraction form
    23,035/31,788.48 = 13,099/x
  3. Step 3: Cross multiply
    23,035x = 31,788.48 × 13,099
  4. Step 4: Simplify right side
    23,035x = 416,397,299.52
  5. Step 5: Solve for x
    x = 416,397,299.52/23,035
  6. Step 6: Final answer
    x = 18,076.72

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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.