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Finding the Fourth Proportional to 12,506.99, 18,760.51 and 5,111.44

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Solution

The fourth proportional to 12,506.99, 18,760.51 and 5,111.44 is: 7,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.99 : 18,760.51 = 5,111.44 : x
  2. Step 2: Convert to fraction form
    12,506.99/18,760.51 = 5,111.44/x
  3. Step 3: Cross multiply
    12,506.99x = 18,760.51 × 5,111.44
  4. Step 4: Simplify right side
    12,506.99x = 95,893,286.25
  5. Step 5: Solve for x
    x = 95,893,286.25/12,506.99
  6. Step 6: Final answer
    x = 7,667.18

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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.