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Finding the Fourth Proportional to 12,010.92, 16,574.70 and 6,705.63

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Solution

The fourth proportional to 12,010.92, 16,574.70 and 6,705.63 is: 9,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.92 : 16,574.70 = 6,705.63 : x
  2. Step 2: Convert to fraction form
    12,010.92/16,574.70 = 6,705.63/x
  3. Step 3: Cross multiply
    12,010.92x = 16,574.70 × 6,705.63
  4. Step 4: Simplify right side
    12,010.92x = 111,143,805.56
  5. Step 5: Solve for x
    x = 111,143,805.56/12,010.92
  6. Step 6: Final answer
    x = 9,253.56

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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.