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Finding the Fourth Proportional to 18,644.14, 27,970.59 and 6,164.17

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Solution

The fourth proportional to 18,644.14, 27,970.59 and 6,164.17 is: 9,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.14 : 27,970.59 = 6,164.17 : x
  2. Step 2: Convert to fraction form
    18,644.14/27,970.59 = 6,164.17/x
  3. Step 3: Cross multiply
    18,644.14x = 27,970.59 × 6,164.17
  4. Step 4: Simplify right side
    18,644.14x = 172,415,471.76
  5. Step 5: Solve for x
    x = 172,415,471.76/18,644.14
  6. Step 6: Final answer
    x = 9,247.70

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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.