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Finding the Fourth Proportional to 24,760.77, 37,141.02 and 8,120.67

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Solution

The fourth proportional to 24,760.77, 37,141.02 and 8,120.67 is: 12,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.77 : 37,141.02 = 8,120.67 : x
  2. Step 2: Convert to fraction form
    24,760.77/37,141.02 = 8,120.67/x
  3. Step 3: Cross multiply
    24,760.77x = 37,141.02 × 8,120.67
  4. Step 4: Simplify right side
    24,760.77x = 301,609,966.88
  5. Step 5: Solve for x
    x = 301,609,966.88/24,760.77
  6. Step 6: Final answer
    x = 12,180.96

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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.