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Finding the Fourth Proportional to 12,217.94, 16,858.20 and 6,914.06

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Solution

The fourth proportional to 12,217.94, 16,858.20 and 6,914.06 is: 9,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.94 : 16,858.20 = 6,914.06 : x
  2. Step 2: Convert to fraction form
    12,217.94/16,858.20 = 6,914.06/x
  3. Step 3: Cross multiply
    12,217.94x = 16,858.20 × 6,914.06
  4. Step 4: Simplify right side
    12,217.94x = 116,558,606.29
  5. Step 5: Solve for x
    x = 116,558,606.29/12,217.94
  6. Step 6: Final answer
    x = 9,539.96

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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.