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Finding the Fourth Proportional to 24,677.80, 37,022.10 and 12,203.80

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Solution

The fourth proportional to 24,677.80, 37,022.10 and 12,203.80 is: 18,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.80 : 37,022.10 = 12,203.80 : x
  2. Step 2: Convert to fraction form
    24,677.80/37,022.10 = 12,203.80/x
  3. Step 3: Cross multiply
    24,677.80x = 37,022.10 × 12,203.80
  4. Step 4: Simplify right side
    24,677.80x = 451,810,303.98
  5. Step 5: Solve for x
    x = 451,810,303.98/24,677.80
  6. Step 6: Final answer
    x = 18,308.37

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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.