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Finding the Fourth Proportional to 20,124.64, 30,164.36 and 9,456.22

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Solution

The fourth proportional to 20,124.64, 30,164.36 and 9,456.22 is: 14,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.64 : 30,164.36 = 9,456.22 : x
  2. Step 2: Convert to fraction form
    20,124.64/30,164.36 = 9,456.22/x
  3. Step 3: Cross multiply
    20,124.64x = 30,164.36 × 9,456.22
  4. Step 4: Simplify right side
    20,124.64x = 285,240,824.32
  5. Step 5: Solve for x
    x = 285,240,824.32/20,124.64
  6. Step 6: Final answer
    x = 14,173.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.