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Finding the Fourth Proportional to 13,588.24, 18,751.97 and 8,209.93

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Solution

The fourth proportional to 13,588.24, 18,751.97 and 8,209.93 is: 11,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.24 : 18,751.97 = 8,209.93 : x
  2. Step 2: Convert to fraction form
    13,588.24/18,751.97 = 8,209.93/x
  3. Step 3: Cross multiply
    13,588.24x = 18,751.97 × 8,209.93
  4. Step 4: Simplify right side
    13,588.24x = 153,952,387.97
  5. Step 5: Solve for x
    x = 153,952,387.97/13,588.24
  6. Step 6: Final answer
    x = 11,329.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.