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Finding the Fourth Proportional to 23,102.91, 31,683.15 and 22,144.28

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Solution

The fourth proportional to 23,102.91, 31,683.15 and 22,144.28 is: 30,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.91 : 31,683.15 = 22,144.28 : x
  2. Step 2: Convert to fraction form
    23,102.91/31,683.15 = 22,144.28/x
  3. Step 3: Cross multiply
    23,102.91x = 31,683.15 × 22,144.28
  4. Step 4: Simplify right side
    23,102.91x = 701,600,386.47
  5. Step 5: Solve for x
    x = 701,600,386.47/23,102.91
  6. Step 6: Final answer
    x = 30,368.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.