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Finding the Fourth Proportional to 13,754.76, 20,632.54 and 3,366.50

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Solution

The fourth proportional to 13,754.76, 20,632.54 and 3,366.50 is: 5,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.76 : 20,632.54 = 3,366.50 : x
  2. Step 2: Convert to fraction form
    13,754.76/20,632.54 = 3,366.50/x
  3. Step 3: Cross multiply
    13,754.76x = 20,632.54 × 3,366.50
  4. Step 4: Simplify right side
    13,754.76x = 69,459,445.91
  5. Step 5: Solve for x
    x = 69,459,445.91/13,754.76
  6. Step 6: Final answer
    x = 5,049.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.