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Finding the Fourth Proportional to 22,324.34, 33,486.77 and 5,684.36

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Solution

The fourth proportional to 22,324.34, 33,486.77 and 5,684.36 is: 8,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324.34 : 33,486.77 = 5,684.36 : x
  2. Step 2: Convert to fraction form
    22,324.34/33,486.77 = 5,684.36/x
  3. Step 3: Cross multiply
    22,324.34x = 33,486.77 × 5,684.36
  4. Step 4: Simplify right side
    22,324.34x = 190,350,702.69
  5. Step 5: Solve for x
    x = 190,350,702.69/22,324.34
  6. Step 6: Final answer
    x = 8,526.60

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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.