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Finding the Fourth Proportional to 17,136.51, 23,641.43 and 11,166

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Solution

The fourth proportional to 17,136.51, 23,641.43 and 11,166 is: 15,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136.51 : 23,641.43 = 11,166 : x
  2. Step 2: Convert to fraction form
    17,136.51/23,641.43 = 11,166/x
  3. Step 3: Cross multiply
    17,136.51x = 23,641.43 × 11,166
  4. Step 4: Simplify right side
    17,136.51x = 263,980,151.55
  5. Step 5: Solve for x
    x = 263,980,151.55/17,136.51
  6. Step 6: Final answer
    x = 15,404.55

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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.