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Finding the Fourth Proportional to 12,785.14, 17,630.87 and 11,539.16

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Solution

The fourth proportional to 12,785.14, 17,630.87 and 11,539.16 is: 15,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.14 : 17,630.87 = 11,539.16 : x
  2. Step 2: Convert to fraction form
    12,785.14/17,630.87 = 11,539.16/x
  3. Step 3: Cross multiply
    12,785.14x = 17,630.87 × 11,539.16
  4. Step 4: Simplify right side
    12,785.14x = 203,445,350.13
  5. Step 5: Solve for x
    x = 203,445,350.13/12,785.14
  6. Step 6: Final answer
    x = 15,912.64

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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.