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Finding the Fourth Proportional to 22,147.70, 33,222.45 and 7,358

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Solution

The fourth proportional to 22,147.70, 33,222.45 and 7,358 is: 11,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.70 : 33,222.45 = 7,358 : x
  2. Step 2: Convert to fraction form
    22,147.70/33,222.45 = 7,358/x
  3. Step 3: Cross multiply
    22,147.70x = 33,222.45 × 7,358
  4. Step 4: Simplify right side
    22,147.70x = 244,450,787.10
  5. Step 5: Solve for x
    x = 244,450,787.10/22,147.70
  6. Step 6: Final answer
    x = 11,037.30

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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.