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Finding the Fourth Proportional to 13,777.26, 20,665.62 and 4,543.26

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Solution

The fourth proportional to 13,777.26, 20,665.62 and 4,543.26 is: 6,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.26 : 20,665.62 = 4,543.26 : x
  2. Step 2: Convert to fraction form
    13,777.26/20,665.62 = 4,543.26/x
  3. Step 3: Cross multiply
    13,777.26x = 20,665.62 × 4,543.26
  4. Step 4: Simplify right side
    13,777.26x = 93,889,284.72
  5. Step 5: Solve for x
    x = 93,889,284.72/13,777.26
  6. Step 6: Final answer
    x = 6,814.80

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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.