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Finding the Fourth Proportional to 13,902.94, 20,857.65 and 4,543.39

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Solution

The fourth proportional to 13,902.94, 20,857.65 and 4,543.39 is: 6,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.94 : 20,857.65 = 4,543.39 : x
  2. Step 2: Convert to fraction form
    13,902.94/20,857.65 = 4,543.39/x
  3. Step 3: Cross multiply
    13,902.94x = 20,857.65 × 4,543.39
  4. Step 4: Simplify right side
    13,902.94x = 94,764,438.43
  5. Step 5: Solve for x
    x = 94,764,438.43/13,902.94
  6. Step 6: Final answer
    x = 6,816.14

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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.