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Finding the Fourth Proportional to 22,896.48, 34,342.56 and 7,311.36

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Solution

The fourth proportional to 22,896.48, 34,342.56 and 7,311.36 is: 10,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.48 : 34,342.56 = 7,311.36 : x
  2. Step 2: Convert to fraction form
    22,896.48/34,342.56 = 7,311.36/x
  3. Step 3: Cross multiply
    22,896.48x = 34,342.56 × 7,311.36
  4. Step 4: Simplify right side
    22,896.48x = 251,090,819.48
  5. Step 5: Solve for x
    x = 251,090,819.48/22,896.48
  6. Step 6: Final answer
    x = 10,966.35

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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.