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Finding the Fourth Proportional to 12,327.99, 18,486.51 and 7,647.81

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Solution

The fourth proportional to 12,327.99, 18,486.51 and 7,647.81 is: 11,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.99 : 18,486.51 = 7,647.81 : x
  2. Step 2: Convert to fraction form
    12,327.99/18,486.51 = 7,647.81/x
  3. Step 3: Cross multiply
    12,327.99x = 18,486.51 × 7,647.81
  4. Step 4: Simplify right side
    12,327.99x = 141,381,334.56
  5. Step 5: Solve for x
    x = 141,381,334.56/12,327.99
  6. Step 6: Final answer
    x = 11,468.32

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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.