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Finding the Fourth Proportional to 22,214.51, 33,323.86 and 8,174.81

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Solution

The fourth proportional to 22,214.51, 33,323.86 and 8,174.81 is: 12,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.51 : 33,323.86 = 8,174.81 : x
  2. Step 2: Convert to fraction form
    22,214.51/33,323.86 = 8,174.81/x
  3. Step 3: Cross multiply
    22,214.51x = 33,323.86 × 8,174.81
  4. Step 4: Simplify right side
    22,214.51x = 272,416,177.20
  5. Step 5: Solve for x
    x = 272,416,177.20/22,214.51
  6. Step 6: Final answer
    x = 12,262.98

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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.