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Finding the Fourth Proportional to 22,720.32, 34,076.16 and 7,728.12

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Solution

The fourth proportional to 22,720.32, 34,076.16 and 7,728.12 is: 11,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.32 : 34,076.16 = 7,728.12 : x
  2. Step 2: Convert to fraction form
    22,720.32/34,076.16 = 7,728.12/x
  3. Step 3: Cross multiply
    22,720.32x = 34,076.16 × 7,728.12
  4. Step 4: Simplify right side
    22,720.32x = 263,344,653.62
  5. Step 5: Solve for x
    x = 263,344,653.62/22,720.32
  6. Step 6: Final answer
    x = 11,590.71

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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.