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Finding the Fourth Proportional to 13,188.40, 19,768.93 and 8,246.69

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Solution

The fourth proportional to 13,188.40, 19,768.93 and 8,246.69 is: 12,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.40 : 19,768.93 = 8,246.69 : x
  2. Step 2: Convert to fraction form
    13,188.40/19,768.93 = 8,246.69/x
  3. Step 3: Cross multiply
    13,188.40x = 19,768.93 × 8,246.69
  4. Step 4: Simplify right side
    13,188.40x = 163,028,266.15
  5. Step 5: Solve for x
    x = 163,028,266.15/13,188.40
  6. Step 6: Final answer
    x = 12,361.49

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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.