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Finding the Fourth Proportional to 12,174.17, 18,268.40 and 5,153.75

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Solution

The fourth proportional to 12,174.17, 18,268.40 and 5,153.75 is: 7,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.17 : 18,268.40 = 5,153.75 : x
  2. Step 2: Convert to fraction form
    12,174.17/18,268.40 = 5,153.75/x
  3. Step 3: Cross multiply
    12,174.17x = 18,268.40 × 5,153.75
  4. Step 4: Simplify right side
    12,174.17x = 94,150,766.50
  5. Step 5: Solve for x
    x = 94,150,766.50/12,174.17
  6. Step 6: Final answer
    x = 7,733.65

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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.