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Finding the Fourth Proportional to 20,214, 30,322.08 and 6,364.08

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Solution

The fourth proportional to 20,214, 30,322.08 and 6,364.08 is: 9,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214 : 30,322.08 = 6,364.08 : x
  2. Step 2: Convert to fraction form
    20,214/30,322.08 = 6,364.08/x
  3. Step 3: Cross multiply
    20,214x = 30,322.08 × 6,364.08
  4. Step 4: Simplify right side
    20,214x = 192,972,142.89
  5. Step 5: Solve for x
    x = 192,972,142.89/20,214
  6. Step 6: Final answer
    x = 9,546.46

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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.