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Finding the Fourth Proportional to 18,221.40, 27,335 and 6,378.48

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Solution

The fourth proportional to 18,221.40, 27,335 and 6,378.48 is: 9,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,221.40 : 27,335 = 6,378.48 : x
  2. Step 2: Convert to fraction form
    18,221.40/27,335 = 6,378.48/x
  3. Step 3: Cross multiply
    18,221.40x = 27,335 × 6,378.48
  4. Step 4: Simplify right side
    18,221.40x = 174,355,750.80
  5. Step 5: Solve for x
    x = 174,355,750.80/18,221.40
  6. Step 6: Final answer
    x = 9,568.74

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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.