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Finding the Fourth Proportional to 16,582.76, 22,906.02 and 12,383.72

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Solution

The fourth proportional to 16,582.76, 22,906.02 and 12,383.72 is: 17,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.76 : 22,906.02 = 12,383.72 : x
  2. Step 2: Convert to fraction form
    16,582.76/22,906.02 = 12,383.72/x
  3. Step 3: Cross multiply
    16,582.76x = 22,906.02 × 12,383.72
  4. Step 4: Simplify right side
    16,582.76x = 283,661,737.99
  5. Step 5: Solve for x
    x = 283,661,737.99/16,582.76
  6. Step 6: Final answer
    x = 17,105.82

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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.