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Finding the Fourth Proportional to 16,827, 25,237.26 and 5,733.60

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Solution

The fourth proportional to 16,827, 25,237.26 and 5,733.60 is: 8,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827 : 25,237.26 = 5,733.60 : x
  2. Step 2: Convert to fraction form
    16,827/25,237.26 = 5,733.60/x
  3. Step 3: Cross multiply
    16,827x = 25,237.26 × 5,733.60
  4. Step 4: Simplify right side
    16,827x = 144,700,353.94
  5. Step 5: Solve for x
    x = 144,700,353.94/16,827
  6. Step 6: Final answer
    x = 8,599.30

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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.