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Finding the Fourth Proportional to 20,293.36, 30,426.28 and 7,144

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Solution

The fourth proportional to 20,293.36, 30,426.28 and 7,144 is: 10,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293.36 : 30,426.28 = 7,144 : x
  2. Step 2: Convert to fraction form
    20,293.36/30,426.28 = 7,144/x
  3. Step 3: Cross multiply
    20,293.36x = 30,426.28 × 7,144
  4. Step 4: Simplify right side
    20,293.36x = 217,365,344.32
  5. Step 5: Solve for x
    x = 217,365,344.32/20,293.36
  6. Step 6: Final answer
    x = 10,711.16

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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.