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Finding the Fourth Proportional to 20,539.86, 30,810.06 and 7,212.32

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Solution

The fourth proportional to 20,539.86, 30,810.06 and 7,212.32 is: 10,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.86 : 30,810.06 = 7,212.32 : x
  2. Step 2: Convert to fraction form
    20,539.86/30,810.06 = 7,212.32/x
  3. Step 3: Cross multiply
    20,539.86x = 30,810.06 × 7,212.32
  4. Step 4: Simplify right side
    20,539.86x = 222,211,973.43
  5. Step 5: Solve for x
    x = 222,211,973.43/20,539.86
  6. Step 6: Final answer
    x = 10,818.57

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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.