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Finding the Fourth Proportional to 22,154.88, 33,154.26 and 13,838.81

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Solution

The fourth proportional to 22,154.88, 33,154.26 and 13,838.81 is: 20,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.88 : 33,154.26 = 13,838.81 : x
  2. Step 2: Convert to fraction form
    22,154.88/33,154.26 = 13,838.81/x
  3. Step 3: Cross multiply
    22,154.88x = 33,154.26 × 13,838.81
  4. Step 4: Simplify right side
    22,154.88x = 458,815,535.82
  5. Step 5: Solve for x
    x = 458,815,535.82/22,154.88
  6. Step 6: Final answer
    x = 20,709.46

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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.