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Finding the Fourth Proportional to 24,910.12, 37,352.94 and 8,264.50

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Solution

The fourth proportional to 24,910.12, 37,352.94 and 8,264.50 is: 12,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,910.12 : 37,352.94 = 8,264.50 : x
  2. Step 2: Convert to fraction form
    24,910.12/37,352.94 = 8,264.50/x
  3. Step 3: Cross multiply
    24,910.12x = 37,352.94 × 8,264.50
  4. Step 4: Simplify right side
    24,910.12x = 308,703,372.63
  5. Step 5: Solve for x
    x = 308,703,372.63/24,910.12
  6. Step 6: Final answer
    x = 12,392.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.