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Finding the Fourth Proportional to 12,294.14, 16,965.87 and 6,705.14

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Solution

The fourth proportional to 12,294.14, 16,965.87 and 6,705.14 is: 9,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.14 : 16,965.87 = 6,705.14 : x
  2. Step 2: Convert to fraction form
    12,294.14/16,965.87 = 6,705.14/x
  3. Step 3: Cross multiply
    12,294.14x = 16,965.87 × 6,705.14
  4. Step 4: Simplify right side
    12,294.14x = 113,758,533.57
  5. Step 5: Solve for x
    x = 113,758,533.57/12,294.14
  6. Step 6: Final answer
    x = 9,253.07

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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.