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Finding the Fourth Proportional to 22,828.32, 34,243.44 and 7,845.72

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Solution

The fourth proportional to 22,828.32, 34,243.44 and 7,845.72 is: 11,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828.32 : 34,243.44 = 7,845.72 : x
  2. Step 2: Convert to fraction form
    22,828.32/34,243.44 = 7,845.72/x
  3. Step 3: Cross multiply
    22,828.32x = 34,243.44 × 7,845.72
  4. Step 4: Simplify right side
    22,828.32x = 268,664,442.08
  5. Step 5: Solve for x
    x = 268,664,442.08/22,828.32
  6. Step 6: Final answer
    x = 11,768.91

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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.