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Finding the Fourth Proportional to 18,256.14, 27,385.35 and 7,724.19

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Solution

The fourth proportional to 18,256.14, 27,385.35 and 7,724.19 is: 11,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.14 : 27,385.35 = 7,724.19 : x
  2. Step 2: Convert to fraction form
    18,256.14/27,385.35 = 7,724.19/x
  3. Step 3: Cross multiply
    18,256.14x = 27,385.35 × 7,724.19
  4. Step 4: Simplify right side
    18,256.14x = 211,529,646.62
  5. Step 5: Solve for x
    x = 211,529,646.62/18,256.14
  6. Step 6: Final answer
    x = 11,586.77

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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.