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Finding the Fourth Proportional to 27,984.44, 38,620.14 and 15,409.40

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Solution

The fourth proportional to 27,984.44, 38,620.14 and 15,409.40 is: 21,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.44 : 38,620.14 = 15,409.40 : x
  2. Step 2: Convert to fraction form
    27,984.44/38,620.14 = 15,409.40/x
  3. Step 3: Cross multiply
    27,984.44x = 38,620.14 × 15,409.40
  4. Step 4: Simplify right side
    27,984.44x = 595,113,185.32
  5. Step 5: Solve for x
    x = 595,113,185.32/27,984.44
  6. Step 6: Final answer
    x = 21,265.86

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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.