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Finding the Fourth Proportional to 22,641.50, 33,951.33 and 9,490.34

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Solution

The fourth proportional to 22,641.50, 33,951.33 and 9,490.34 is: 14,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.50 : 33,951.33 = 9,490.34 : x
  2. Step 2: Convert to fraction form
    22,641.50/33,951.33 = 9,490.34/x
  3. Step 3: Cross multiply
    22,641.50x = 33,951.33 × 9,490.34
  4. Step 4: Simplify right side
    22,641.50x = 322,209,750.03
  5. Step 5: Solve for x
    x = 322,209,750.03/22,641.50
  6. Step 6: Final answer
    x = 14,230.93

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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.