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Finding the Fourth Proportional to 23,729.81, 35,597.14 and 8,951.15

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Solution

The fourth proportional to 23,729.81, 35,597.14 and 8,951.15 is: 13,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.81 : 35,597.14 = 8,951.15 : x
  2. Step 2: Convert to fraction form
    23,729.81/35,597.14 = 8,951.15/x
  3. Step 3: Cross multiply
    23,729.81x = 35,597.14 × 8,951.15
  4. Step 4: Simplify right side
    23,729.81x = 318,635,406.33
  5. Step 5: Solve for x
    x = 318,635,406.33/23,729.81
  6. Step 6: Final answer
    x = 13,427.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.