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Finding the Fourth Proportional to 12,153.24, 16,771.14 and 6,847.74

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Solution

The fourth proportional to 12,153.24, 16,771.14 and 6,847.74 is: 9,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.24 : 16,771.14 = 6,847.74 : x
  2. Step 2: Convert to fraction form
    12,153.24/16,771.14 = 6,847.74/x
  3. Step 3: Cross multiply
    12,153.24x = 16,771.14 × 6,847.74
  4. Step 4: Simplify right side
    12,153.24x = 114,844,406.22
  5. Step 5: Solve for x
    x = 114,844,406.22/12,153.24
  6. Step 6: Final answer
    x = 9,449.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.