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Finding the Fourth Proportional to 12,104.14, 16,702.86 and 11,112.70

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Solution

The fourth proportional to 12,104.14, 16,702.86 and 11,112.70 is: 15,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.14 : 16,702.86 = 11,112.70 : x
  2. Step 2: Convert to fraction form
    12,104.14/16,702.86 = 11,112.70/x
  3. Step 3: Cross multiply
    12,104.14x = 16,702.86 × 11,112.70
  4. Step 4: Simplify right side
    12,104.14x = 185,613,872.32
  5. Step 5: Solve for x
    x = 185,613,872.32/12,104.14
  6. Step 6: Final answer
    x = 15,334.74

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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.