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Finding the Fourth Proportional to 12,974.79, 19,464.92 and 4,209.01

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Solution

The fourth proportional to 12,974.79, 19,464.92 and 4,209.01 is: 6,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.79 : 19,464.92 = 4,209.01 : x
  2. Step 2: Convert to fraction form
    12,974.79/19,464.92 = 4,209.01/x
  3. Step 3: Cross multiply
    12,974.79x = 19,464.92 × 4,209.01
  4. Step 4: Simplify right side
    12,974.79x = 81,928,042.93
  5. Step 5: Solve for x
    x = 81,928,042.93/12,974.79
  6. Step 6: Final answer
    x = 6,314.40

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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.