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Finding the Fourth Proportional to 24,842.96, 37,268.14 and 8,204.76

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Solution

The fourth proportional to 24,842.96, 37,268.14 and 8,204.76 is: 12,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.96 : 37,268.14 = 8,204.76 : x
  2. Step 2: Convert to fraction form
    24,842.96/37,268.14 = 8,204.76/x
  3. Step 3: Cross multiply
    24,842.96x = 37,268.14 × 8,204.76
  4. Step 4: Simplify right side
    24,842.96x = 305,776,144.35
  5. Step 5: Solve for x
    x = 305,776,144.35/24,842.96
  6. Step 6: Final answer
    x = 12,308.36

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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.