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Finding the Fourth Proportional to 22,540.51, 31,109.61 and 13,114.54

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Solution

The fourth proportional to 22,540.51, 31,109.61 and 13,114.54 is: 18,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.51 : 31,109.61 = 13,114.54 : x
  2. Step 2: Convert to fraction form
    22,540.51/31,109.61 = 13,114.54/x
  3. Step 3: Cross multiply
    22,540.51x = 31,109.61 × 13,114.54
  4. Step 4: Simplify right side
    22,540.51x = 407,988,224.73
  5. Step 5: Solve for x
    x = 407,988,224.73/22,540.51
  6. Step 6: Final answer
    x = 18,100.22

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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.