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Finding the Fourth Proportional to 27,960.75, 38,585.84 and 15,385.50

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Solution

The fourth proportional to 27,960.75, 38,585.84 and 15,385.50 is: 21,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960.75 : 38,585.84 = 15,385.50 : x
  2. Step 2: Convert to fraction form
    27,960.75/38,585.84 = 15,385.50/x
  3. Step 3: Cross multiply
    27,960.75x = 38,585.84 × 15,385.50
  4. Step 4: Simplify right side
    27,960.75x = 593,662,364.39
  5. Step 5: Solve for x
    x = 593,662,364.39/27,960.75
  6. Step 6: Final answer
    x = 21,231.99

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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.