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Finding the Fourth Proportional to 12,294.02, 16,965.24 and 6,705.02

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Solution

The fourth proportional to 12,294.02, 16,965.24 and 6,705.02 is: 9,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.02 : 16,965.24 = 6,705.02 : x
  2. Step 2: Convert to fraction form
    12,294.02/16,965.24 = 6,705.02/x
  3. Step 3: Cross multiply
    12,294.02x = 16,965.24 × 6,705.02
  4. Step 4: Simplify right side
    12,294.02x = 113,752,273.50
  5. Step 5: Solve for x
    x = 113,752,273.50/12,294.02
  6. Step 6: Final answer
    x = 9,252.65

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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.