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Finding the Fourth Proportional to 24,878.50, 37,317.75 and 8,462.50

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Solution

The fourth proportional to 24,878.50, 37,317.75 and 8,462.50 is: 12,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.50 : 37,317.75 = 8,462.50 : x
  2. Step 2: Convert to fraction form
    24,878.50/37,317.75 = 8,462.50/x
  3. Step 3: Cross multiply
    24,878.50x = 37,317.75 × 8,462.50
  4. Step 4: Simplify right side
    24,878.50x = 315,801,459.38
  5. Step 5: Solve for x
    x = 315,801,459.38/24,878.50
  6. Step 6: Final answer
    x = 12,693.75

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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.