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Finding the Fourth Proportional to 20,184.88, 30,282.18 and 6,333.88

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Solution

The fourth proportional to 20,184.88, 30,282.18 and 6,333.88 is: 9,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.88 : 30,282.18 = 6,333.88 : x
  2. Step 2: Convert to fraction form
    20,184.88/30,282.18 = 6,333.88/x
  3. Step 3: Cross multiply
    20,184.88x = 30,282.18 × 6,333.88
  4. Step 4: Simplify right side
    20,184.88x = 191,803,511.18
  5. Step 5: Solve for x
    x = 191,803,511.18/20,184.88
  6. Step 6: Final answer
    x = 9,502.34

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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.