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Finding the Fourth Proportional to 24,778.24, 37,162.08 and 8,140.24

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Solution

The fourth proportional to 24,778.24, 37,162.08 and 8,140.24 is: 12,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.24 : 37,162.08 = 8,140.24 : x
  2. Step 2: Convert to fraction form
    24,778.24/37,162.08 = 8,140.24/x
  3. Step 3: Cross multiply
    24,778.24x = 37,162.08 × 8,140.24
  4. Step 4: Simplify right side
    24,778.24x = 302,508,250.10
  5. Step 5: Solve for x
    x = 302,508,250.10/24,778.24
  6. Step 6: Final answer
    x = 12,208.63

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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.