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Finding the Fourth Proportional to 12,136.48, 18,205.80 and 5,209.36

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Solution

The fourth proportional to 12,136.48, 18,205.80 and 5,209.36 is: 7,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.48 : 18,205.80 = 5,209.36 : x
  2. Step 2: Convert to fraction form
    12,136.48/18,205.80 = 5,209.36/x
  3. Step 3: Cross multiply
    12,136.48x = 18,205.80 × 5,209.36
  4. Step 4: Simplify right side
    12,136.48x = 94,840,566.29
  5. Step 5: Solve for x
    x = 94,840,566.29/12,136.48
  6. Step 6: Final answer
    x = 7,814.50

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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.