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Finding the Fourth Proportional to 16,006.48, 22,089.18 and 8,933.44

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Solution

The fourth proportional to 16,006.48, 22,089.18 and 8,933.44 is: 12,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.48 : 22,089.18 = 8,933.44 : x
  2. Step 2: Convert to fraction form
    16,006.48/22,089.18 = 8,933.44/x
  3. Step 3: Cross multiply
    16,006.48x = 22,089.18 × 8,933.44
  4. Step 4: Simplify right side
    16,006.48x = 197,332,364.18
  5. Step 5: Solve for x
    x = 197,332,364.18/16,006.48
  6. Step 6: Final answer
    x = 12,328.28

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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.