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Finding the Fourth Proportional to 22,614.73, 33,925.18 and 7,819.68

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Solution

The fourth proportional to 22,614.73, 33,925.18 and 7,819.68 is: 11,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.73 : 33,925.18 = 7,819.68 : x
  2. Step 2: Convert to fraction form
    22,614.73/33,925.18 = 7,819.68/x
  3. Step 3: Cross multiply
    22,614.73x = 33,925.18 × 7,819.68
  4. Step 4: Simplify right side
    22,614.73x = 265,283,881.92
  5. Step 5: Solve for x
    x = 265,283,881.92/22,614.73
  6. Step 6: Final answer
    x = 11,730.58

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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.