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Finding the Fourth Proportional to 18,146.64, 27,202.68 and 5,826

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Solution

The fourth proportional to 18,146.64, 27,202.68 and 5,826 is: 8,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.64 : 27,202.68 = 5,826 : x
  2. Step 2: Convert to fraction form
    18,146.64/27,202.68 = 5,826/x
  3. Step 3: Cross multiply
    18,146.64x = 27,202.68 × 5,826
  4. Step 4: Simplify right side
    18,146.64x = 158,482,813.68
  5. Step 5: Solve for x
    x = 158,482,813.68/18,146.64
  6. Step 6: Final answer
    x = 8,733.45

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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.