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Finding the Fourth Proportional to 24,842.09, 37,266.83 and 8,203.88

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Solution

The fourth proportional to 24,842.09, 37,266.83 and 8,203.88 is: 12,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.09 : 37,266.83 = 8,203.88 : x
  2. Step 2: Convert to fraction form
    24,842.09/37,266.83 = 8,203.88/x
  3. Step 3: Cross multiply
    24,842.09x = 37,266.83 × 8,203.88
  4. Step 4: Simplify right side
    24,842.09x = 305,732,601.30
  5. Step 5: Solve for x
    x = 305,732,601.30/24,842.09
  6. Step 6: Final answer
    x = 12,307.04

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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.