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Finding the Fourth Proportional to 13,187.68, 19,781.46 and 5,293.72

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Solution

The fourth proportional to 13,187.68, 19,781.46 and 5,293.72 is: 7,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.68 : 19,781.46 = 5,293.72 : x
  2. Step 2: Convert to fraction form
    13,187.68/19,781.46 = 5,293.72/x
  3. Step 3: Cross multiply
    13,187.68x = 19,781.46 × 5,293.72
  4. Step 4: Simplify right side
    13,187.68x = 104,717,510.43
  5. Step 5: Solve for x
    x = 104,717,510.43/13,187.68
  6. Step 6: Final answer
    x = 7,940.56

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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.