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Finding the Fourth Proportional to 12,365.20, 18,496.60 and 11,136.40

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Solution

The fourth proportional to 12,365.20, 18,496.60 and 11,136.40 is: 16,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.20 : 18,496.60 = 11,136.40 : x
  2. Step 2: Convert to fraction form
    12,365.20/18,496.60 = 11,136.40/x
  3. Step 3: Cross multiply
    12,365.20x = 18,496.60 × 11,136.40
  4. Step 4: Simplify right side
    12,365.20x = 205,985,536.24
  5. Step 5: Solve for x
    x = 205,985,536.24/12,365.20
  6. Step 6: Final answer
    x = 16,658.49

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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.