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Finding the Fourth Proportional to 22,638.74, 33,956.15 and 10,155.42

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Solution

The fourth proportional to 22,638.74, 33,956.15 and 10,155.42 is: 15,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.74 : 33,956.15 = 10,155.42 : x
  2. Step 2: Convert to fraction form
    22,638.74/33,956.15 = 10,155.42/x
  3. Step 3: Cross multiply
    22,638.74x = 33,956.15 × 10,155.42
  4. Step 4: Simplify right side
    22,638.74x = 344,838,914.06
  5. Step 5: Solve for x
    x = 344,838,914.06/22,638.74
  6. Step 6: Final answer
    x = 15,232.25

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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.