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Finding the Fourth Proportional to 21,873.38, 32,806.56 and 7,830.80

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Solution

The fourth proportional to 21,873.38, 32,806.56 and 7,830.80 is: 11,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.38 : 32,806.56 = 7,830.80 : x
  2. Step 2: Convert to fraction form
    21,873.38/32,806.56 = 7,830.80/x
  3. Step 3: Cross multiply
    21,873.38x = 32,806.56 × 7,830.80
  4. Step 4: Simplify right side
    21,873.38x = 256,901,610.05
  5. Step 5: Solve for x
    x = 256,901,610.05/21,873.38
  6. Step 6: Final answer
    x = 11,744.94

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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.