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Finding the Fourth Proportional to 27,784.44, 38,343.42 and 15,847.56

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Solution

The fourth proportional to 27,784.44, 38,343.42 and 15,847.56 is: 21,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.44 : 38,343.42 = 15,847.56 : x
  2. Step 2: Convert to fraction form
    27,784.44/38,343.42 = 15,847.56/x
  3. Step 3: Cross multiply
    27,784.44x = 38,343.42 × 15,847.56
  4. Step 4: Simplify right side
    27,784.44x = 607,649,649.06
  5. Step 5: Solve for x
    x = 607,649,649.06/27,784.44
  6. Step 6: Final answer
    x = 21,870.14

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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.