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Finding the Fourth Proportional to 13,543.94, 20,301.50 and 5,220.35

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Solution

The fourth proportional to 13,543.94, 20,301.50 and 5,220.35 is: 7,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.94 : 20,301.50 = 5,220.35 : x
  2. Step 2: Convert to fraction form
    13,543.94/20,301.50 = 5,220.35/x
  3. Step 3: Cross multiply
    13,543.94x = 20,301.50 × 5,220.35
  4. Step 4: Simplify right side
    13,543.94x = 105,980,923.20
  5. Step 5: Solve for x
    x = 105,980,923.20/13,543.94
  6. Step 6: Final answer
    x = 7,824.97

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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.