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Finding the Fourth Proportional to 13,188.68, 19,782.96 and 5,294.72

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Solution

The fourth proportional to 13,188.68, 19,782.96 and 5,294.72 is: 7,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.68 : 19,782.96 = 5,294.72 : x
  2. Step 2: Convert to fraction form
    13,188.68/19,782.96 = 5,294.72/x
  3. Step 3: Cross multiply
    13,188.68x = 19,782.96 × 5,294.72
  4. Step 4: Simplify right side
    13,188.68x = 104,745,233.97
  5. Step 5: Solve for x
    x = 104,745,233.97/13,188.68
  6. Step 6: Final answer
    x = 7,942.06

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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.