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Finding the Fourth Proportional to 22,068.84, 33,058.94 and 10,205.99

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Solution

The fourth proportional to 22,068.84, 33,058.94 and 10,205.99 is: 15,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,068.84 : 33,058.94 = 10,205.99 : x
  2. Step 2: Convert to fraction form
    22,068.84/33,058.94 = 10,205.99/x
  3. Step 3: Cross multiply
    22,068.84x = 33,058.94 × 10,205.99
  4. Step 4: Simplify right side
    22,068.84x = 337,399,235.04
  5. Step 5: Solve for x
    x = 337,399,235.04/22,068.84
  6. Step 6: Final answer
    x = 15,288.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.