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Finding the Fourth Proportional to 24,515.59, 33,829.53 and 13,906.21

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Solution

The fourth proportional to 24,515.59, 33,829.53 and 13,906.21 is: 19,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.59 : 33,829.53 = 13,906.21 : x
  2. Step 2: Convert to fraction form
    24,515.59/33,829.53 = 13,906.21/x
  3. Step 3: Cross multiply
    24,515.59x = 33,829.53 × 13,906.21
  4. Step 4: Simplify right side
    24,515.59x = 470,440,548.38
  5. Step 5: Solve for x
    x = 470,440,548.38/24,515.59
  6. Step 6: Final answer
    x = 19,189.44

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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.