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Finding the Fourth Proportional to 22,179.84, 33,258.60 and 7,383.48

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Solution

The fourth proportional to 22,179.84, 33,258.60 and 7,383.48 is: 11,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,179.84 : 33,258.60 = 7,383.48 : x
  2. Step 2: Convert to fraction form
    22,179.84/33,258.60 = 7,383.48/x
  3. Step 3: Cross multiply
    22,179.84x = 33,258.60 × 7,383.48
  4. Step 4: Simplify right side
    22,179.84x = 245,564,207.93
  5. Step 5: Solve for x
    x = 245,564,207.93/22,179.84
  6. Step 6: Final answer
    x = 11,071.50

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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.