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Finding the Fourth Proportional to 13,893.68, 20,840.76 and 4,533.80

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Solution

The fourth proportional to 13,893.68, 20,840.76 and 4,533.80 is: 6,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.68 : 20,840.76 = 4,533.80 : x
  2. Step 2: Convert to fraction form
    13,893.68/20,840.76 = 4,533.80/x
  3. Step 3: Cross multiply
    13,893.68x = 20,840.76 × 4,533.80
  4. Step 4: Simplify right side
    13,893.68x = 94,487,837.69
  5. Step 5: Solve for x
    x = 94,487,837.69/13,893.68
  6. Step 6: Final answer
    x = 6,800.78

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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.