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Finding the Fourth Proportional to 16,192, 22,345.03 and 9,118.54

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Solution

The fourth proportional to 16,192, 22,345.03 and 9,118.54 is: 12,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192 : 22,345.03 = 9,118.54 : x
  2. Step 2: Convert to fraction form
    16,192/22,345.03 = 9,118.54/x
  3. Step 3: Cross multiply
    16,192x = 22,345.03 × 9,118.54
  4. Step 4: Simplify right side
    16,192x = 203,754,049.86
  5. Step 5: Solve for x
    x = 203,754,049.86/16,192
  6. Step 6: Final answer
    x = 12,583.62

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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.