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Finding the Fourth Proportional to 22,728.39, 34,097.96 and 7,146.02

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Solution

The fourth proportional to 22,728.39, 34,097.96 and 7,146.02 is: 10,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.39 : 34,097.96 = 7,146.02 : x
  2. Step 2: Convert to fraction form
    22,728.39/34,097.96 = 7,146.02/x
  3. Step 3: Cross multiply
    22,728.39x = 34,097.96 × 7,146.02
  4. Step 4: Simplify right side
    22,728.39x = 243,664,704.12
  5. Step 5: Solve for x
    x = 243,664,704.12/22,728.39
  6. Step 6: Final answer
    x = 10,720.72

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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.