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Finding the Fourth Proportional to 12,214.08, 16,847.46 and 7,733.16

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Solution

The fourth proportional to 12,214.08, 16,847.46 and 7,733.16 is: 10,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.08 : 16,847.46 = 7,733.16 : x
  2. Step 2: Convert to fraction form
    12,214.08/16,847.46 = 7,733.16/x
  3. Step 3: Cross multiply
    12,214.08x = 16,847.46 × 7,733.16
  4. Step 4: Simplify right side
    12,214.08x = 130,284,103.77
  5. Step 5: Solve for x
    x = 130,284,103.77/12,214.08
  6. Step 6: Final answer
    x = 10,666.71

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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.