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Finding the Fourth Proportional to 12,513.65, 18,791.94 and 11,111.24

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Solution

The fourth proportional to 12,513.65, 18,791.94 and 11,111.24 is: 16,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.65 : 18,791.94 = 11,111.24 : x
  2. Step 2: Convert to fraction form
    12,513.65/18,791.94 = 11,111.24/x
  3. Step 3: Cross multiply
    12,513.65x = 18,791.94 × 11,111.24
  4. Step 4: Simplify right side
    12,513.65x = 208,801,661.45
  5. Step 5: Solve for x
    x = 208,801,661.45/12,513.65
  6. Step 6: Final answer
    x = 16,685.92

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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.