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Finding the Fourth Proportional to 22,147.63, 33,214.20 and 7,352.53

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Solution

The fourth proportional to 22,147.63, 33,214.20 and 7,352.53 is: 11,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.63 : 33,214.20 = 7,352.53 : x
  2. Step 2: Convert to fraction form
    22,147.63/33,214.20 = 7,352.53/x
  3. Step 3: Cross multiply
    22,147.63x = 33,214.20 × 7,352.53
  4. Step 4: Simplify right side
    22,147.63x = 244,208,401.93
  5. Step 5: Solve for x
    x = 244,208,401.93/22,147.63
  6. Step 6: Final answer
    x = 11,026.39

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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.