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Finding the Fourth Proportional to 24,806.48, 37,214.84 and 8,167.50

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Solution

The fourth proportional to 24,806.48, 37,214.84 and 8,167.50 is: 12,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.48 : 37,214.84 = 8,167.50 : x
  2. Step 2: Convert to fraction form
    24,806.48/37,214.84 = 8,167.50/x
  3. Step 3: Cross multiply
    24,806.48x = 37,214.84 × 8,167.50
  4. Step 4: Simplify right side
    24,806.48x = 303,952,164.86
  5. Step 5: Solve for x
    x = 303,952,164.86/24,806.48
  6. Step 6: Final answer
    x = 12,252.94

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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.