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Finding the Fourth Proportional to 16,761.46, 23,131.05 and 9,208.47

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Solution

The fourth proportional to 16,761.46, 23,131.05 and 9,208.47 is: 12,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.46 : 23,131.05 = 9,208.47 : x
  2. Step 2: Convert to fraction form
    16,761.46/23,131.05 = 9,208.47/x
  3. Step 3: Cross multiply
    16,761.46x = 23,131.05 × 9,208.47
  4. Step 4: Simplify right side
    16,761.46x = 213,001,579.99
  5. Step 5: Solve for x
    x = 213,001,579.99/16,761.46
  6. Step 6: Final answer
    x = 12,707.82

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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.