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Finding the Fourth Proportional to 24,695.99, 37,035.96 and 8,051.66

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Solution

The fourth proportional to 24,695.99, 37,035.96 and 8,051.66 is: 12,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.99 : 37,035.96 = 8,051.66 : x
  2. Step 2: Convert to fraction form
    24,695.99/37,035.96 = 8,051.66/x
  3. Step 3: Cross multiply
    24,695.99x = 37,035.96 × 8,051.66
  4. Step 4: Simplify right side
    24,695.99x = 298,200,957.69
  5. Step 5: Solve for x
    x = 298,200,957.69/24,695.99
  6. Step 6: Final answer
    x = 12,074.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.