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Finding the Fourth Proportional to 22,106.92, 30,509.70 and 16,508.20

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Solution

The fourth proportional to 22,106.92, 30,509.70 and 16,508.20 is: 22,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.92 : 30,509.70 = 16,508.20 : x
  2. Step 2: Convert to fraction form
    22,106.92/30,509.70 = 16,508.20/x
  3. Step 3: Cross multiply
    22,106.92x = 30,509.70 × 16,508.20
  4. Step 4: Simplify right side
    22,106.92x = 503,660,229.54
  5. Step 5: Solve for x
    x = 503,660,229.54/22,106.92
  6. Step 6: Final answer
    x = 22,782.92

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