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Finding the Fourth Proportional to 24,770.16, 37,153.89 and 8,127.99

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Solution

The fourth proportional to 24,770.16, 37,153.89 and 8,127.99 is: 12,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.16 : 37,153.89 = 8,127.99 : x
  2. Step 2: Convert to fraction form
    24,770.16/37,153.89 = 8,127.99/x
  3. Step 3: Cross multiply
    24,770.16x = 37,153.89 × 8,127.99
  4. Step 4: Simplify right side
    24,770.16x = 301,986,446.38
  5. Step 5: Solve for x
    x = 301,986,446.38/24,770.16
  6. Step 6: Final answer
    x = 12,191.54

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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.