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Finding the Fourth Proportional to 24,926.86, 37,364.04 and 8,282.42

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Solution

The fourth proportional to 24,926.86, 37,364.04 and 8,282.42 is: 12,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,926.86 : 37,364.04 = 8,282.42 : x
  2. Step 2: Convert to fraction form
    24,926.86/37,364.04 = 8,282.42/x
  3. Step 3: Cross multiply
    24,926.86x = 37,364.04 × 8,282.42
  4. Step 4: Simplify right side
    24,926.86x = 309,464,672.18
  5. Step 5: Solve for x
    x = 309,464,672.18/24,926.86
  6. Step 6: Final answer
    x = 12,414.91

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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.