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Finding the Fourth Proportional to 22,434.84, 33,651.05 and 6,851.25

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Solution

The fourth proportional to 22,434.84, 33,651.05 and 6,851.25 is: 10,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434.84 : 33,651.05 = 6,851.25 : x
  2. Step 2: Convert to fraction form
    22,434.84/33,651.05 = 6,851.25/x
  3. Step 3: Cross multiply
    22,434.84x = 33,651.05 × 6,851.25
  4. Step 4: Simplify right side
    22,434.84x = 230,551,722.06
  5. Step 5: Solve for x
    x = 230,551,722.06/22,434.84
  6. Step 6: Final answer
    x = 10,276.50

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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.