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Finding the Fourth Proportional to 23,729.69, 32,747.65 and 13,120

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Solution

The fourth proportional to 23,729.69, 32,747.65 and 13,120 is: 18,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.69 : 32,747.65 = 13,120 : x
  2. Step 2: Convert to fraction form
    23,729.69/32,747.65 = 13,120/x
  3. Step 3: Cross multiply
    23,729.69x = 32,747.65 × 13,120
  4. Step 4: Simplify right side
    23,729.69x = 429,649,168
  5. Step 5: Solve for x
    x = 429,649,168/23,729.69
  6. Step 6: Final answer
    x = 18,105.97

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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.