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Finding the Fourth Proportional to 24,291.47, 33,522.09 and 13,684.52

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Solution

The fourth proportional to 24,291.47, 33,522.09 and 13,684.52 is: 18,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.47 : 33,522.09 = 13,684.52 : x
  2. Step 2: Convert to fraction form
    24,291.47/33,522.09 = 13,684.52/x
  3. Step 3: Cross multiply
    24,291.47x = 33,522.09 × 13,684.52
  4. Step 4: Simplify right side
    24,291.47x = 458,733,743.54
  5. Step 5: Solve for x
    x = 458,733,743.54/24,291.47
  6. Step 6: Final answer
    x = 18,884.56

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