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Finding the Fourth Proportional to 22,753.54, 31,381.31 and 19,105.50

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Solution

The fourth proportional to 22,753.54, 31,381.31 and 19,105.50 is: 26,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.54 : 31,381.31 = 19,105.50 : x
  2. Step 2: Convert to fraction form
    22,753.54/31,381.31 = 19,105.50/x
  3. Step 3: Cross multiply
    22,753.54x = 31,381.31 × 19,105.50
  4. Step 4: Simplify right side
    22,753.54x = 599,555,618.21
  5. Step 5: Solve for x
    x = 599,555,618.21/22,753.54
  6. Step 6: Final answer
    x = 26,349.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.