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Finding the Fourth Proportional to 22,043.84, 33,071.36 and 10,206.15

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Solution

The fourth proportional to 22,043.84, 33,071.36 and 10,206.15 is: 15,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,043.84 : 33,071.36 = 10,206.15 : x
  2. Step 2: Convert to fraction form
    22,043.84/33,071.36 = 10,206.15/x
  3. Step 3: Cross multiply
    22,043.84x = 33,071.36 × 10,206.15
  4. Step 4: Simplify right side
    22,043.84x = 337,531,209.83
  5. Step 5: Solve for x
    x = 337,531,209.83/22,043.84
  6. Step 6: Final answer
    x = 15,311.82

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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.