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Finding the Fourth Proportional to 22,542.48, 31,109.09 and 13,588.09

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Solution

The fourth proportional to 22,542.48, 31,109.09 and 13,588.09 is: 18,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.48 : 31,109.09 = 13,588.09 : x
  2. Step 2: Convert to fraction form
    22,542.48/31,109.09 = 13,588.09/x
  3. Step 3: Cross multiply
    22,542.48x = 31,109.09 × 13,588.09
  4. Step 4: Simplify right side
    22,542.48x = 422,712,969.02
  5. Step 5: Solve for x
    x = 422,712,969.02/22,542.48
  6. Step 6: Final answer
    x = 18,751.84

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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.