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Finding the Fourth Proportional to 12,120.84, 16,706.25 and 11,491.47

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Solution

The fourth proportional to 12,120.84, 16,706.25 and 11,491.47 is: 15,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.84 : 16,706.25 = 11,491.47 : x
  2. Step 2: Convert to fraction form
    12,120.84/16,706.25 = 11,491.47/x
  3. Step 3: Cross multiply
    12,120.84x = 16,706.25 × 11,491.47
  4. Step 4: Simplify right side
    12,120.84x = 191,979,370.69
  5. Step 5: Solve for x
    x = 191,979,370.69/12,120.84
  6. Step 6: Final answer
    x = 15,838.78

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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.