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Finding the Fourth Proportional to 22,105.69, 33,162.63 and 7,314.74

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Solution

The fourth proportional to 22,105.69, 33,162.63 and 7,314.74 is: 10,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.69 : 33,162.63 = 7,314.74 : x
  2. Step 2: Convert to fraction form
    22,105.69/33,162.63 = 7,314.74/x
  3. Step 3: Cross multiply
    22,105.69x = 33,162.63 × 7,314.74
  4. Step 4: Simplify right side
    22,105.69x = 242,575,933.91
  5. Step 5: Solve for x
    x = 242,575,933.91/22,105.69
  6. Step 6: Final answer
    x = 10,973.46

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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.