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Finding the Fourth Proportional to 18,286.40, 27,417.60 and 7,186.40

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Solution

The fourth proportional to 18,286.40, 27,417.60 and 7,186.40 is: 10,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.40 : 27,417.60 = 7,186.40 : x
  2. Step 2: Convert to fraction form
    18,286.40/27,417.60 = 7,186.40/x
  3. Step 3: Cross multiply
    18,286.40x = 27,417.60 × 7,186.40
  4. Step 4: Simplify right side
    18,286.40x = 197,033,840.64
  5. Step 5: Solve for x
    x = 197,033,840.64/18,286.40
  6. Step 6: Final answer
    x = 10,774.88

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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.