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Finding the Fourth Proportional to 12,393.14, 18,577.86 and 7,937.12

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Solution

The fourth proportional to 12,393.14, 18,577.86 and 7,937.12 is: 11,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.14 : 18,577.86 = 7,937.12 : x
  2. Step 2: Convert to fraction form
    12,393.14/18,577.86 = 7,937.12/x
  3. Step 3: Cross multiply
    12,393.14x = 18,577.86 × 7,937.12
  4. Step 4: Simplify right side
    12,393.14x = 147,454,704.16
  5. Step 5: Solve for x
    x = 147,454,704.16/12,393.14
  6. Step 6: Final answer
    x = 11,898.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.