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Finding the Fourth Proportional to 22,182.48, 33,273.72 and 12,942

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Solution

The fourth proportional to 22,182.48, 33,273.72 and 12,942 is: 19,413

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.48 : 33,273.72 = 12,942 : x
  2. Step 2: Convert to fraction form
    22,182.48/33,273.72 = 12,942/x
  3. Step 3: Cross multiply
    22,182.48x = 33,273.72 × 12,942
  4. Step 4: Simplify right side
    22,182.48x = 430,628,484.24
  5. Step 5: Solve for x
    x = 430,628,484.24/22,182.48
  6. Step 6: Final answer
    x = 19,413

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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.