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Finding the Fourth Proportional to 23,746.70, 32,770.83 and 13,136.36

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Solution

The fourth proportional to 23,746.70, 32,770.83 and 13,136.36 is: 18,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.70 : 32,770.83 = 13,136.36 : x
  2. Step 2: Convert to fraction form
    23,746.70/32,770.83 = 13,136.36/x
  3. Step 3: Cross multiply
    23,746.70x = 32,770.83 × 13,136.36
  4. Step 4: Simplify right side
    23,746.70x = 430,489,420.38
  5. Step 5: Solve for x
    x = 430,489,420.38/23,746.70
  6. Step 6: Final answer
    x = 18,128.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.