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Finding the Fourth Proportional to 24,850.41, 37,267.69 and 8,207.34

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Solution

The fourth proportional to 24,850.41, 37,267.69 and 8,207.34 is: 12,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.41 : 37,267.69 = 8,207.34 : x
  2. Step 2: Convert to fraction form
    24,850.41/37,267.69 = 8,207.34/x
  3. Step 3: Cross multiply
    24,850.41x = 37,267.69 × 8,207.34
  4. Step 4: Simplify right side
    24,850.41x = 305,868,602.84
  5. Step 5: Solve for x
    x = 305,868,602.84/24,850.41
  6. Step 6: Final answer
    x = 12,308.39

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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.