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Finding the Fourth Proportional to 24,537.84, 33,857.70 and 14,469.48

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Solution

The fourth proportional to 24,537.84, 33,857.70 and 14,469.48 is: 19,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.84 : 33,857.70 = 14,469.48 : x
  2. Step 2: Convert to fraction form
    24,537.84/33,857.70 = 14,469.48/x
  3. Step 3: Cross multiply
    24,537.84x = 33,857.70 × 14,469.48
  4. Step 4: Simplify right side
    24,537.84x = 489,903,313.00
  5. Step 5: Solve for x
    x = 489,903,313.00/24,537.84
  6. Step 6: Final answer
    x = 19,965.22

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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.