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Finding the Fourth Proportional to 24,861.96, 37,274.64 and 11,707.14

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Solution

The fourth proportional to 24,861.96, 37,274.64 and 11,707.14 is: 17,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.96 : 37,274.64 = 11,707.14 : x
  2. Step 2: Convert to fraction form
    24,861.96/37,274.64 = 11,707.14/x
  3. Step 3: Cross multiply
    24,861.96x = 37,274.64 × 11,707.14
  4. Step 4: Simplify right side
    24,861.96x = 436,379,428.93
  5. Step 5: Solve for x
    x = 436,379,428.93/24,861.96
  6. Step 6: Final answer
    x = 17,552.09

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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.