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Finding the Fourth Proportional to 16,003, 22,084.14 and 9,379

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Solution

The fourth proportional to 16,003, 22,084.14 and 9,379 is: 12,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003 : 22,084.14 = 9,379 : x
  2. Step 2: Convert to fraction form
    16,003/22,084.14 = 9,379/x
  3. Step 3: Cross multiply
    16,003x = 22,084.14 × 9,379
  4. Step 4: Simplify right side
    16,003x = 207,127,149.06
  5. Step 5: Solve for x
    x = 207,127,149.06/16,003
  6. Step 6: Final answer
    x = 12,943.02

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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.