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Finding the Fourth Proportional to 24,910.84, 37,367.63 and 8,270.96

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Solution

The fourth proportional to 24,910.84, 37,367.63 and 8,270.96 is: 12,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,910.84 : 37,367.63 = 8,270.96 : x
  2. Step 2: Convert to fraction form
    24,910.84/37,367.63 = 8,270.96/x
  3. Step 3: Cross multiply
    24,910.84x = 37,367.63 × 8,270.96
  4. Step 4: Simplify right side
    24,910.84x = 309,066,186.04
  5. Step 5: Solve for x
    x = 309,066,186.04/24,910.84
  6. Step 6: Final answer
    x = 12,406.89

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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.