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Finding the Fourth Proportional to 27,971.81, 38,591.37 and 15,870.87

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Solution

The fourth proportional to 27,971.81, 38,591.37 and 15,870.87 is: 21,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.81 : 38,591.37 = 15,870.87 : x
  2. Step 2: Convert to fraction form
    27,971.81/38,591.37 = 15,870.87/x
  3. Step 3: Cross multiply
    27,971.81x = 38,591.37 × 15,870.87
  4. Step 4: Simplify right side
    27,971.81x = 612,478,616.39
  5. Step 5: Solve for x
    x = 612,478,616.39/27,971.81
  6. Step 6: Final answer
    x = 21,896.28

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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.