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Finding the Fourth Proportional to 12,956.13, 19,418.13 and 9,201.92

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Solution

The fourth proportional to 12,956.13, 19,418.13 and 9,201.92 is: 13,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.13 : 19,418.13 = 9,201.92 : x
  2. Step 2: Convert to fraction form
    12,956.13/19,418.13 = 9,201.92/x
  3. Step 3: Cross multiply
    12,956.13x = 19,418.13 × 9,201.92
  4. Step 4: Simplify right side
    12,956.13x = 178,684,078.81
  5. Step 5: Solve for x
    x = 178,684,078.81/12,956.13
  6. Step 6: Final answer
    x = 13,791.47

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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.