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Finding the Fourth Proportional to 13,884.01, 20,826.02 and 4,023.30

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Solution

The fourth proportional to 13,884.01, 20,826.02 and 4,023.30 is: 6,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.01 : 20,826.02 = 4,023.30 : x
  2. Step 2: Convert to fraction form
    13,884.01/20,826.02 = 4,023.30/x
  3. Step 3: Cross multiply
    13,884.01x = 20,826.02 × 4,023.30
  4. Step 4: Simplify right side
    13,884.01x = 83,789,326.27
  5. Step 5: Solve for x
    x = 83,789,326.27/13,884.01
  6. Step 6: Final answer
    x = 6,034.95

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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.