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Finding the Fourth Proportional to 22,564.68, 31,110.39 and 15,478.80

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Solution

The fourth proportional to 22,564.68, 31,110.39 and 15,478.80 is: 21,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.68 : 31,110.39 = 15,478.80 : x
  2. Step 2: Convert to fraction form
    22,564.68/31,110.39 = 15,478.80/x
  3. Step 3: Cross multiply
    22,564.68x = 31,110.39 × 15,478.80
  4. Step 4: Simplify right side
    22,564.68x = 481,551,504.73
  5. Step 5: Solve for x
    x = 481,551,504.73/22,564.68
  6. Step 6: Final answer
    x = 21,340.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.