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Finding the Fourth Proportional to 13,136.52, 19,658.55 and 8,208.48

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Solution

The fourth proportional to 13,136.52, 19,658.55 and 8,208.48 is: 12,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.52 : 19,658.55 = 8,208.48 : x
  2. Step 2: Convert to fraction form
    13,136.52/19,658.55 = 8,208.48/x
  3. Step 3: Cross multiply
    13,136.52x = 19,658.55 × 8,208.48
  4. Step 4: Simplify right side
    13,136.52x = 161,366,814.50
  5. Step 5: Solve for x
    x = 161,366,814.50/13,136.52
  6. Step 6: Final answer
    x = 12,283.83

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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.