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Finding the Fourth Proportional to 36,284.84, 54,444 and 16,569.44

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Solution

The fourth proportional to 36,284.84, 54,444 and 16,569.44 is: 24,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284.84 : 54,444 = 16,569.44 : x
  2. Step 2: Convert to fraction form
    36,284.84/54,444 = 16,569.44/x
  3. Step 3: Cross multiply
    36,284.84x = 54,444 × 16,569.44
  4. Step 4: Simplify right side
    36,284.84x = 902,106,591.36
  5. Step 5: Solve for x
    x = 902,106,591.36/36,284.84
  6. Step 6: Final answer
    x = 24,861.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.