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Finding the Fourth Proportional to 16,004, 22,085.44 and 8,930

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Solution

The fourth proportional to 16,004, 22,085.44 and 8,930 is: 12,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004 : 22,085.44 = 8,930 : x
  2. Step 2: Convert to fraction form
    16,004/22,085.44 = 8,930/x
  3. Step 3: Cross multiply
    16,004x = 22,085.44 × 8,930
  4. Step 4: Simplify right side
    16,004x = 197,222,979.20
  5. Step 5: Solve for x
    x = 197,222,979.20/16,004
  6. Step 6: Final answer
    x = 12,323.36

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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.