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Finding the Fourth Proportional to 12,014.46, 16,579.97 and 6,709.46

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Solution

The fourth proportional to 12,014.46, 16,579.97 and 6,709.46 is: 9,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.46 : 16,579.97 = 6,709.46 : x
  2. Step 2: Convert to fraction form
    12,014.46/16,579.97 = 6,709.46/x
  3. Step 3: Cross multiply
    12,014.46x = 16,579.97 × 6,709.46
  4. Step 4: Simplify right side
    12,014.46x = 111,242,529.07
  5. Step 5: Solve for x
    x = 111,242,529.07/12,014.46
  6. Step 6: Final answer
    x = 9,259.05

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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.