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Finding the Fourth Proportional to 24,781.10, 37,175.54 and 8,137.35

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Solution

The fourth proportional to 24,781.10, 37,175.54 and 8,137.35 is: 12,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.10 : 37,175.54 = 8,137.35 : x
  2. Step 2: Convert to fraction form
    24,781.10/37,175.54 = 8,137.35/x
  3. Step 3: Cross multiply
    24,781.10x = 37,175.54 × 8,137.35
  4. Step 4: Simplify right side
    24,781.10x = 302,510,380.42
  5. Step 5: Solve for x
    x = 302,510,380.42/24,781.10
  6. Step 6: Final answer
    x = 12,207.30

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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.