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Finding the Fourth Proportional to 18,586.28, 27,858.35 and 9,214.58

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Solution

The fourth proportional to 18,586.28, 27,858.35 and 9,214.58 is: 13,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.28 : 27,858.35 = 9,214.58 : x
  2. Step 2: Convert to fraction form
    18,586.28/27,858.35 = 9,214.58/x
  3. Step 3: Cross multiply
    18,586.28x = 27,858.35 × 9,214.58
  4. Step 4: Simplify right side
    18,586.28x = 256,702,809.38
  5. Step 5: Solve for x
    x = 256,702,809.38/18,586.28
  6. Step 6: Final answer
    x = 13,811.42

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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.