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Finding the Fourth Proportional to 13,188.96, 19,785.60 and 6,261.12

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Solution

The fourth proportional to 13,188.96, 19,785.60 and 6,261.12 is: 9,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.96 : 19,785.60 = 6,261.12 : x
  2. Step 2: Convert to fraction form
    13,188.96/19,785.60 = 6,261.12/x
  3. Step 3: Cross multiply
    13,188.96x = 19,785.60 × 6,261.12
  4. Step 4: Simplify right side
    13,188.96x = 123,880,015.87
  5. Step 5: Solve for x
    x = 123,880,015.87/13,188.96
  6. Step 6: Final answer
    x = 9,392.71

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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.