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Finding the Fourth Proportional to 24,741.72, 37,105.29 and 7,206.03

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Solution

The fourth proportional to 24,741.72, 37,105.29 and 7,206.03 is: 10,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.72 : 37,105.29 = 7,206.03 : x
  2. Step 2: Convert to fraction form
    24,741.72/37,105.29 = 7,206.03/x
  3. Step 3: Cross multiply
    24,741.72x = 37,105.29 × 7,206.03
  4. Step 4: Simplify right side
    24,741.72x = 267,381,832.90
  5. Step 5: Solve for x
    x = 267,381,832.90/24,741.72
  6. Step 6: Final answer
    x = 10,806.92

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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.