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Finding the Fourth Proportional to 24,317, 33,556.60 and 13,706

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Solution

The fourth proportional to 24,317, 33,556.60 and 13,706 is: 18,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317 : 33,556.60 = 13,706 : x
  2. Step 2: Convert to fraction form
    24,317/33,556.60 = 13,706/x
  3. Step 3: Cross multiply
    24,317x = 33,556.60 × 13,706
  4. Step 4: Simplify right side
    24,317x = 459,926,759.60
  5. Step 5: Solve for x
    x = 459,926,759.60/24,317
  6. Step 6: Final answer
    x = 18,913.80

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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.