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Finding the Fourth Proportional to 27,984.96, 38,619.20 and 15,238.16

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Solution

The fourth proportional to 27,984.96, 38,619.20 and 15,238.16 is: 21,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.96 : 38,619.20 = 15,238.16 : x
  2. Step 2: Convert to fraction form
    27,984.96/38,619.20 = 15,238.16/x
  3. Step 3: Cross multiply
    27,984.96x = 38,619.20 × 15,238.16
  4. Step 4: Simplify right side
    27,984.96x = 588,485,548.67
  5. Step 5: Solve for x
    x = 588,485,548.67/27,984.96
  6. Step 6: Final answer
    x = 21,028.64

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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.