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Finding the Fourth Proportional to 27,989.48, 38,623.74 and 15,414.23

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Solution

The fourth proportional to 27,989.48, 38,623.74 and 15,414.23 is: 21,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.48 : 38,623.74 = 15,414.23 : x
  2. Step 2: Convert to fraction form
    27,989.48/38,623.74 = 15,414.23/x
  3. Step 3: Cross multiply
    27,989.48x = 38,623.74 × 15,414.23
  4. Step 4: Simplify right side
    27,989.48x = 595,355,250.58
  5. Step 5: Solve for x
    x = 595,355,250.58/27,989.48
  6. Step 6: Final answer
    x = 21,270.68

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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.