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Finding the Fourth Proportional to 16,046.41, 22,145.06 and 8,972.83

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Solution

The fourth proportional to 16,046.41, 22,145.06 and 8,972.83 is: 12,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.41 : 22,145.06 = 8,972.83 : x
  2. Step 2: Convert to fraction form
    16,046.41/22,145.06 = 8,972.83/x
  3. Step 3: Cross multiply
    16,046.41x = 22,145.06 × 8,972.83
  4. Step 4: Simplify right side
    16,046.41x = 198,703,825.79
  5. Step 5: Solve for x
    x = 198,703,825.79/16,046.41
  6. Step 6: Final answer
    x = 12,383.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.