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Finding the Fourth Proportional to 22,182.41, 33,243.05 and 9,712.86

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Solution

The fourth proportional to 22,182.41, 33,243.05 and 9,712.86 is: 14,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.41 : 33,243.05 = 9,712.86 : x
  2. Step 2: Convert to fraction form
    22,182.41/33,243.05 = 9,712.86/x
  3. Step 3: Cross multiply
    22,182.41x = 33,243.05 × 9,712.86
  4. Step 4: Simplify right side
    22,182.41x = 322,885,042.06
  5. Step 5: Solve for x
    x = 322,885,042.06/22,182.41
  6. Step 6: Final answer
    x = 14,555.91

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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.