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Finding the Fourth Proportional to 16,883.69, 25,331.00 and 8,117.46

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Solution

The fourth proportional to 16,883.69, 25,331.00 and 8,117.46 is: 12,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883.69 : 25,331.00 = 8,117.46 : x
  2. Step 2: Convert to fraction form
    16,883.69/25,331.00 = 8,117.46/x
  3. Step 3: Cross multiply
    16,883.69x = 25,331.00 × 8,117.46
  4. Step 4: Simplify right side
    16,883.69x = 205,623,338.67
  5. Step 5: Solve for x
    x = 205,623,338.67/16,883.69
  6. Step 6: Final answer
    x = 12,178.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.