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Finding the Fourth Proportional to 23,729.58, 35,597.64 and 8,145.18

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Solution

The fourth proportional to 23,729.58, 35,597.64 and 8,145.18 is: 12,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.58 : 35,597.64 = 8,145.18 : x
  2. Step 2: Convert to fraction form
    23,729.58/35,597.64 = 8,145.18/x
  3. Step 3: Cross multiply
    23,729.58x = 35,597.64 × 8,145.18
  4. Step 4: Simplify right side
    23,729.58x = 289,949,185.38
  5. Step 5: Solve for x
    x = 289,949,185.38/23,729.58
  6. Step 6: Final answer
    x = 12,218.89

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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.