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Finding the Fourth Proportional to 16,006.20, 22,088.06 and 8,933.82

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Solution

The fourth proportional to 16,006.20, 22,088.06 and 8,933.82 is: 12,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.20 : 22,088.06 = 8,933.82 : x
  2. Step 2: Convert to fraction form
    16,006.20/22,088.06 = 8,933.82/x
  3. Step 3: Cross multiply
    16,006.20x = 22,088.06 × 8,933.82
  4. Step 4: Simplify right side
    16,006.20x = 197,330,752.19
  5. Step 5: Solve for x
    x = 197,330,752.19/16,006.20
  6. Step 6: Final answer
    x = 12,328.39

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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.