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Finding the Fourth Proportional to 13,188.49, 19,782.77 and 3,327.77

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Solution

The fourth proportional to 13,188.49, 19,782.77 and 3,327.77 is: 4,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.49 : 19,782.77 = 3,327.77 : x
  2. Step 2: Convert to fraction form
    13,188.49/19,782.77 = 3,327.77/x
  3. Step 3: Cross multiply
    13,188.49x = 19,782.77 × 3,327.77
  4. Step 4: Simplify right side
    13,188.49x = 65,832,508.52
  5. Step 5: Solve for x
    x = 65,832,508.52/13,188.49
  6. Step 6: Final answer
    x = 4,991.66

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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.