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Finding the Fourth Proportional to 12,327.60, 18,497.46 and 5,752.82

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Solution

The fourth proportional to 12,327.60, 18,497.46 and 5,752.82 is: 8,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.60 : 18,497.46 = 5,752.82 : x
  2. Step 2: Convert to fraction form
    12,327.60/18,497.46 = 5,752.82/x
  3. Step 3: Cross multiply
    12,327.60x = 18,497.46 × 5,752.82
  4. Step 4: Simplify right side
    12,327.60x = 106,412,557.84
  5. Step 5: Solve for x
    x = 106,412,557.84/12,327.60
  6. Step 6: Final answer
    x = 8,632.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.