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Finding the Fourth Proportional to 20,543.31, 30,809.52 and 9,444.33

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Solution

The fourth proportional to 20,543.31, 30,809.52 and 9,444.33 is: 14,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.31 : 30,809.52 = 9,444.33 : x
  2. Step 2: Convert to fraction form
    20,543.31/30,809.52 = 9,444.33/x
  3. Step 3: Cross multiply
    20,543.31x = 30,809.52 × 9,444.33
  4. Step 4: Simplify right side
    20,543.31x = 290,975,274.02
  5. Step 5: Solve for x
    x = 290,975,274.02/20,543.31
  6. Step 6: Final answer
    x = 14,163.99

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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.