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Finding the Fourth Proportional to 27,977.44, 38,608.16 and 16,047.84

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Solution

The fourth proportional to 27,977.44, 38,608.16 and 16,047.84 is: 22,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.44 : 38,608.16 = 16,047.84 : x
  2. Step 2: Convert to fraction form
    27,977.44/38,608.16 = 16,047.84/x
  3. Step 3: Cross multiply
    27,977.44x = 38,608.16 × 16,047.84
  4. Step 4: Simplify right side
    27,977.44x = 619,577,574.37
  5. Step 5: Solve for x
    x = 619,577,574.37/27,977.44
  6. Step 6: Final answer
    x = 22,145.61

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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.