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Finding the Fourth Proportional to 22,523.40, 33,794.70 and 10,830.60

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Solution

The fourth proportional to 22,523.40, 33,794.70 and 10,830.60 is: 16,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.40 : 33,794.70 = 10,830.60 : x
  2. Step 2: Convert to fraction form
    22,523.40/33,794.70 = 10,830.60/x
  3. Step 3: Cross multiply
    22,523.40x = 33,794.70 × 10,830.60
  4. Step 4: Simplify right side
    22,523.40x = 366,016,877.82
  5. Step 5: Solve for x
    x = 366,016,877.82/22,523.40
  6. Step 6: Final answer
    x = 16,250.52

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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.