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Finding the Fourth Proportional to 12,011.31, 16,574.85 and 6,705.09

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Solution

The fourth proportional to 12,011.31, 16,574.85 and 6,705.09 is: 9,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.31 : 16,574.85 = 6,705.09 : x
  2. Step 2: Convert to fraction form
    12,011.31/16,574.85 = 6,705.09/x
  3. Step 3: Cross multiply
    12,011.31x = 16,574.85 × 6,705.09
  4. Step 4: Simplify right side
    12,011.31x = 111,135,860.99
  5. Step 5: Solve for x
    x = 111,135,860.99/12,011.31
  6. Step 6: Final answer
    x = 9,252.60

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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.