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Finding the Fourth Proportional to 21,900.30, 32,851.65 and 6,105.33

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Solution

The fourth proportional to 21,900.30, 32,851.65 and 6,105.33 is: 9,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.30 : 32,851.65 = 6,105.33 : x
  2. Step 2: Convert to fraction form
    21,900.30/32,851.65 = 6,105.33/x
  3. Step 3: Cross multiply
    21,900.30x = 32,851.65 × 6,105.33
  4. Step 4: Simplify right side
    21,900.30x = 200,570,164.29
  5. Step 5: Solve for x
    x = 200,570,164.29/21,900.30
  6. Step 6: Final answer
    x = 9,158.33

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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.