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Finding the Fourth Proportional to 24,774.33, 37,167.98 and 8,136.93

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Solution

The fourth proportional to 24,774.33, 37,167.98 and 8,136.93 is: 12,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.33 : 37,167.98 = 8,136.93 : x
  2. Step 2: Convert to fraction form
    24,774.33/37,167.98 = 8,136.93/x
  3. Step 3: Cross multiply
    24,774.33x = 37,167.98 × 8,136.93
  4. Step 4: Simplify right side
    24,774.33x = 302,433,251.50
  5. Step 5: Solve for x
    x = 302,433,251.50/24,774.33
  6. Step 6: Final answer
    x = 12,207.52

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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.