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Finding the Fourth Proportional to 24,782.22, 37,165.50 and 8,139.51

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Solution

The fourth proportional to 24,782.22, 37,165.50 and 8,139.51 is: 12,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.22 : 37,165.50 = 8,139.51 : x
  2. Step 2: Convert to fraction form
    24,782.22/37,165.50 = 8,139.51/x
  3. Step 3: Cross multiply
    24,782.22x = 37,165.50 × 8,139.51
  4. Step 4: Simplify right side
    24,782.22x = 302,508,958.91
  5. Step 5: Solve for x
    x = 302,508,958.91/24,782.22
  6. Step 6: Final answer
    x = 12,206.69

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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.