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Finding the Fourth Proportional to 16,003.78, 22,085.28 and 8,930.50

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Solution

The fourth proportional to 16,003.78, 22,085.28 and 8,930.50 is: 12,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.78 : 22,085.28 = 8,930.50 : x
  2. Step 2: Convert to fraction form
    16,003.78/22,085.28 = 8,930.50/x
  3. Step 3: Cross multiply
    16,003.78x = 22,085.28 × 8,930.50
  4. Step 4: Simplify right side
    16,003.78x = 197,232,593.04
  5. Step 5: Solve for x
    x = 197,232,593.04/16,003.78
  6. Step 6: Final answer
    x = 12,324.13

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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.