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Finding the Fourth Proportional to 16,825, 23,196.94 and 13,788.94

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Solution

The fourth proportional to 16,825, 23,196.94 and 13,788.94 is: 19,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825 : 23,196.94 = 13,788.94 : x
  2. Step 2: Convert to fraction form
    16,825/23,196.94 = 13,788.94/x
  3. Step 3: Cross multiply
    16,825x = 23,196.94 × 13,788.94
  4. Step 4: Simplify right side
    16,825x = 319,861,231.89
  5. Step 5: Solve for x
    x = 319,861,231.89/16,825
  6. Step 6: Final answer
    x = 19,011.07

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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.