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Finding the Fourth Proportional to 22,071.74, 33,106.73 and 5,430.96

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Solution

The fourth proportional to 22,071.74, 33,106.73 and 5,430.96 is: 8,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.74 : 33,106.73 = 5,430.96 : x
  2. Step 2: Convert to fraction form
    22,071.74/33,106.73 = 5,430.96/x
  3. Step 3: Cross multiply
    22,071.74x = 33,106.73 × 5,430.96
  4. Step 4: Simplify right side
    22,071.74x = 179,801,299.21
  5. Step 5: Solve for x
    x = 179,801,299.21/22,071.74
  6. Step 6: Final answer
    x = 8,146.22

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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.