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Finding the Fourth Proportional to 13,543.57, 20,293.48 and 5,213.83

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Solution

The fourth proportional to 13,543.57, 20,293.48 and 5,213.83 is: 7,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.57 : 20,293.48 = 5,213.83 : x
  2. Step 2: Convert to fraction form
    13,543.57/20,293.48 = 5,213.83/x
  3. Step 3: Cross multiply
    13,543.57x = 20,293.48 × 5,213.83
  4. Step 4: Simplify right side
    13,543.57x = 105,806,754.83
  5. Step 5: Solve for x
    x = 105,806,754.83/13,543.57
  6. Step 6: Final answer
    x = 7,812.32

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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.