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Finding the Fourth Proportional to 27,971.84, 38,601.24 and 15,396.80

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Solution

The fourth proportional to 27,971.84, 38,601.24 and 15,396.80 is: 21,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.84 : 38,601.24 = 15,396.80 : x
  2. Step 2: Convert to fraction form
    27,971.84/38,601.24 = 15,396.80/x
  3. Step 3: Cross multiply
    27,971.84x = 38,601.24 × 15,396.80
  4. Step 4: Simplify right side
    27,971.84x = 594,335,572.03
  5. Step 5: Solve for x
    x = 594,335,572.03/27,971.84
  6. Step 6: Final answer
    x = 21,247.64

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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.