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Finding the Fourth Proportional to 24,921, 37,369.26 and 8,275.23

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Solution

The fourth proportional to 24,921, 37,369.26 and 8,275.23 is: 12,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921 : 37,369.26 = 8,275.23 : x
  2. Step 2: Convert to fraction form
    24,921/37,369.26 = 8,275.23/x
  3. Step 3: Cross multiply
    24,921x = 37,369.26 × 8,275.23
  4. Step 4: Simplify right side
    24,921x = 309,239,221.43
  5. Step 5: Solve for x
    x = 309,239,221.43/24,921
  6. Step 6: Final answer
    x = 12,408.78

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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.