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Finding the Fourth Proportional to 12,215.26, 16,857.05 and 6,909.96

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Solution

The fourth proportional to 12,215.26, 16,857.05 and 6,909.96 is: 9,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.26 : 16,857.05 = 6,909.96 : x
  2. Step 2: Convert to fraction form
    12,215.26/16,857.05 = 6,909.96/x
  3. Step 3: Cross multiply
    12,215.26x = 16,857.05 × 6,909.96
  4. Step 4: Simplify right side
    12,215.26x = 116,481,541.22
  5. Step 5: Solve for x
    x = 116,481,541.22/12,215.26
  6. Step 6: Final answer
    x = 9,535.74

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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.