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Finding the Fourth Proportional to 16,823.20, 25,213.20 and 14,965.60

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Solution

The fourth proportional to 16,823.20, 25,213.20 and 14,965.60 is: 22,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.20 : 25,213.20 = 14,965.60 : x
  2. Step 2: Convert to fraction form
    16,823.20/25,213.20 = 14,965.60/x
  3. Step 3: Cross multiply
    16,823.20x = 25,213.20 × 14,965.60
  4. Step 4: Simplify right side
    16,823.20x = 377,330,665.92
  5. Step 5: Solve for x
    x = 377,330,665.92/16,823.20
  6. Step 6: Final answer
    x = 22,429.19

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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.