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Finding the Fourth Proportional to 22,678.34, 34,022.36 and 9,523.94

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Solution

The fourth proportional to 22,678.34, 34,022.36 and 9,523.94 is: 14,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.34 : 34,022.36 = 9,523.94 : x
  2. Step 2: Convert to fraction form
    22,678.34/34,022.36 = 9,523.94/x
  3. Step 3: Cross multiply
    22,678.34x = 34,022.36 × 9,523.94
  4. Step 4: Simplify right side
    22,678.34x = 324,026,915.30
  5. Step 5: Solve for x
    x = 324,026,915.30/22,678.34
  6. Step 6: Final answer
    x = 14,287.95

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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.