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Finding the Fourth Proportional to 22,481.28, 33,718.96 and 6,897.60

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Solution

The fourth proportional to 22,481.28, 33,718.96 and 6,897.60 is: 10,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.28 : 33,718.96 = 6,897.60 : x
  2. Step 2: Convert to fraction form
    22,481.28/33,718.96 = 6,897.60/x
  3. Step 3: Cross multiply
    22,481.28x = 33,718.96 × 6,897.60
  4. Step 4: Simplify right side
    22,481.28x = 232,579,898.50
  5. Step 5: Solve for x
    x = 232,579,898.50/22,481.28
  6. Step 6: Final answer
    x = 10,345.49

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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.