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Finding the Fourth Proportional to 13,924.76, 20,889.14 and 4,062.76

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Solution

The fourth proportional to 13,924.76, 20,889.14 and 4,062.76 is: 6,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.76 : 20,889.14 = 4,062.76 : x
  2. Step 2: Convert to fraction form
    13,924.76/20,889.14 = 4,062.76/x
  3. Step 3: Cross multiply
    13,924.76x = 20,889.14 × 4,062.76
  4. Step 4: Simplify right side
    13,924.76x = 84,867,562.43
  5. Step 5: Solve for x
    x = 84,867,562.43/13,924.76
  6. Step 6: Final answer
    x = 6,094.72

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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.