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Finding the Fourth Proportional to 24,665.61, 36,994.10 and 8,023.22

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Solution

The fourth proportional to 24,665.61, 36,994.10 and 8,023.22 is: 12,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665.61 : 36,994.10 = 8,023.22 : x
  2. Step 2: Convert to fraction form
    24,665.61/36,994.10 = 8,023.22/x
  3. Step 3: Cross multiply
    24,665.61x = 36,994.10 × 8,023.22
  4. Step 4: Simplify right side
    24,665.61x = 296,811,577.92
  5. Step 5: Solve for x
    x = 296,811,577.92/24,665.61
  6. Step 6: Final answer
    x = 12,033.42

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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.