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Finding the Fourth Proportional to 22,174.47, 33,265.76 and 13,398.93

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Solution

The fourth proportional to 22,174.47, 33,265.76 and 13,398.93 is: 20,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174.47 : 33,265.76 = 13,398.93 : x
  2. Step 2: Convert to fraction form
    22,174.47/33,265.76 = 13,398.93/x
  3. Step 3: Cross multiply
    22,174.47x = 33,265.76 × 13,398.93
  4. Step 4: Simplify right side
    22,174.47x = 445,725,522.64
  5. Step 5: Solve for x
    x = 445,725,522.64/22,174.47
  6. Step 6: Final answer
    x = 20,100.84

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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.