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Finding the Fourth Proportional to 27,880.75, 38,475.57 and 15,305.50

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Solution

The fourth proportional to 27,880.75, 38,475.57 and 15,305.50 is: 21,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880.75 : 38,475.57 = 15,305.50 : x
  2. Step 2: Convert to fraction form
    27,880.75/38,475.57 = 15,305.50/x
  3. Step 3: Cross multiply
    27,880.75x = 38,475.57 × 15,305.50
  4. Step 4: Simplify right side
    27,880.75x = 588,887,836.64
  5. Step 5: Solve for x
    x = 588,887,836.64/27,880.75
  6. Step 6: Final answer
    x = 21,121.66

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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.