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Finding the Fourth Proportional to 27,982.68, 38,618.28 and 15,409.68

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Solution

The fourth proportional to 27,982.68, 38,618.28 and 15,409.68 is: 21,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.68 : 38,618.28 = 15,409.68 : x
  2. Step 2: Convert to fraction form
    27,982.68/38,618.28 = 15,409.68/x
  3. Step 3: Cross multiply
    27,982.68x = 38,618.28 × 15,409.68
  4. Step 4: Simplify right side
    27,982.68x = 595,095,336.95
  5. Step 5: Solve for x
    x = 595,095,336.95/27,982.68
  6. Step 6: Final answer
    x = 21,266.56

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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.