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Finding the Fourth Proportional to 22,564.86, 33,866.73 and 10,887.90

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Solution

The fourth proportional to 22,564.86, 33,866.73 and 10,887.90 is: 16,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.86 : 33,866.73 = 10,887.90 : x
  2. Step 2: Convert to fraction form
    22,564.86/33,866.73 = 10,887.90/x
  3. Step 3: Cross multiply
    22,564.86x = 33,866.73 × 10,887.90
  4. Step 4: Simplify right side
    22,564.86x = 368,737,569.57
  5. Step 5: Solve for x
    x = 368,737,569.57/22,564.86
  6. Step 6: Final answer
    x = 16,341.23

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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.