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Finding the Fourth Proportional to 24,147.98, 33,324.19 and 13,537.62

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Solution

The fourth proportional to 24,147.98, 33,324.19 and 13,537.62 is: 18,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.98 : 33,324.19 = 13,537.62 : x
  2. Step 2: Convert to fraction form
    24,147.98/33,324.19 = 13,537.62/x
  3. Step 3: Cross multiply
    24,147.98x = 33,324.19 × 13,537.62
  4. Step 4: Simplify right side
    24,147.98x = 451,130,054.41
  5. Step 5: Solve for x
    x = 451,130,054.41/24,147.98
  6. Step 6: Final answer
    x = 18,681.90

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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.