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Finding the Fourth Proportional to 20,657.68, 30,999.72 and 7,508.80

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Solution

The fourth proportional to 20,657.68, 30,999.72 and 7,508.80 is: 11,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.68 : 30,999.72 = 7,508.80 : x
  2. Step 2: Convert to fraction form
    20,657.68/30,999.72 = 7,508.80/x
  3. Step 3: Cross multiply
    20,657.68x = 30,999.72 × 7,508.80
  4. Step 4: Simplify right side
    20,657.68x = 232,770,697.54
  5. Step 5: Solve for x
    x = 232,770,697.54/20,657.68
  6. Step 6: Final answer
    x = 11,268.00

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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.