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Finding the Fourth Proportional to 12,120.17, 16,717.61 and 7,863.63

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Solution

The fourth proportional to 12,120.17, 16,717.61 and 7,863.63 is: 10,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.17 : 16,717.61 = 7,863.63 : x
  2. Step 2: Convert to fraction form
    12,120.17/16,717.61 = 7,863.63/x
  3. Step 3: Cross multiply
    12,120.17x = 16,717.61 × 7,863.63
  4. Step 4: Simplify right side
    12,120.17x = 131,461,056.49
  5. Step 5: Solve for x
    x = 131,461,056.49/12,120.17
  6. Step 6: Final answer
    x = 10,846.47

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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.