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Finding the Fourth Proportional to 24,926.32, 37,395.83 and 8,286.45

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Solution

The fourth proportional to 24,926.32, 37,395.83 and 8,286.45 is: 12,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,926.32 : 37,395.83 = 8,286.45 : x
  2. Step 2: Convert to fraction form
    24,926.32/37,395.83 = 8,286.45/x
  3. Step 3: Cross multiply
    24,926.32x = 37,395.83 × 8,286.45
  4. Step 4: Simplify right side
    24,926.32x = 309,878,675.50
  5. Step 5: Solve for x
    x = 309,878,675.50/24,926.32
  6. Step 6: Final answer
    x = 12,431.79

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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.