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Finding the Fourth Proportional to 24,556.50, 36,838.17 and 8,756.91

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Solution

The fourth proportional to 24,556.50, 36,838.17 and 8,756.91 is: 13,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,556.50 : 36,838.17 = 8,756.91 : x
  2. Step 2: Convert to fraction form
    24,556.50/36,838.17 = 8,756.91/x
  3. Step 3: Cross multiply
    24,556.50x = 36,838.17 × 8,756.91
  4. Step 4: Simplify right side
    24,556.50x = 322,588,539.25
  5. Step 5: Solve for x
    x = 322,588,539.25/24,556.50
  6. Step 6: Final answer
    x = 13,136.58

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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.