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Finding the Fourth Proportional to 14,023.44, 21,031.92 and 6,228

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Solution

The fourth proportional to 14,023.44, 21,031.92 and 6,228 is: 9,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.44 : 21,031.92 = 6,228 : x
  2. Step 2: Convert to fraction form
    14,023.44/21,031.92 = 6,228/x
  3. Step 3: Cross multiply
    14,023.44x = 21,031.92 × 6,228
  4. Step 4: Simplify right side
    14,023.44x = 130,986,797.76
  5. Step 5: Solve for x
    x = 130,986,797.76/14,023.44
  6. Step 6: Final answer
    x = 9,340.56

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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.