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Finding the Fourth Proportional to 22,388.38, 33,589.86 and 10,702.50

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Solution

The fourth proportional to 22,388.38, 33,589.86 and 10,702.50 is: 16,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,388.38 : 33,589.86 = 10,702.50 : x
  2. Step 2: Convert to fraction form
    22,388.38/33,589.86 = 10,702.50/x
  3. Step 3: Cross multiply
    22,388.38x = 33,589.86 × 10,702.50
  4. Step 4: Simplify right side
    22,388.38x = 359,495,476.65
  5. Step 5: Solve for x
    x = 359,495,476.65/22,388.38
  6. Step 6: Final answer
    x = 16,057.23

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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.