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Finding the Fourth Proportional to 24,634.96, 36,952.74 and 7,104.94

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Solution

The fourth proportional to 24,634.96, 36,952.74 and 7,104.94 is: 10,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.96 : 36,952.74 = 7,104.94 : x
  2. Step 2: Convert to fraction form
    24,634.96/36,952.74 = 7,104.94/x
  3. Step 3: Cross multiply
    24,634.96x = 36,952.74 × 7,104.94
  4. Step 4: Simplify right side
    24,634.96x = 262,546,908.15
  5. Step 5: Solve for x
    x = 262,546,908.15/24,634.96
  6. Step 6: Final answer
    x = 10,657.49

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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.