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Finding the Fourth Proportional to 22,006.76, 30,381 and 16,959.92

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Solution

The fourth proportional to 22,006.76, 30,381 and 16,959.92 is: 23,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.76 : 30,381 = 16,959.92 : x
  2. Step 2: Convert to fraction form
    22,006.76/30,381 = 16,959.92/x
  3. Step 3: Cross multiply
    22,006.76x = 30,381 × 16,959.92
  4. Step 4: Simplify right side
    22,006.76x = 515,259,329.52
  5. Step 5: Solve for x
    x = 515,259,329.52/22,006.76
  6. Step 6: Final answer
    x = 23,413.68

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1.5x scale

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.