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Finding the Fourth Proportional to 22,663, 33,970.20 and 10,950.40

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Solution

The fourth proportional to 22,663, 33,970.20 and 10,950.40 is: 16,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663 : 33,970.20 = 10,950.40 : x
  2. Step 2: Convert to fraction form
    22,663/33,970.20 = 10,950.40/x
  3. Step 3: Cross multiply
    22,663x = 33,970.20 × 10,950.40
  4. Step 4: Simplify right side
    22,663x = 371,987,278.08
  5. Step 5: Solve for x
    x = 371,987,278.08/22,663
  6. Step 6: Final answer
    x = 16,413.86

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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.