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Finding the Fourth Proportional to 16,415.69, 22,633.89 and 11,384.24

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Solution

The fourth proportional to 16,415.69, 22,633.89 and 11,384.24 is: 15,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.69 : 22,633.89 = 11,384.24 : x
  2. Step 2: Convert to fraction form
    16,415.69/22,633.89 = 11,384.24/x
  3. Step 3: Cross multiply
    16,415.69x = 22,633.89 × 11,384.24
  4. Step 4: Simplify right side
    16,415.69x = 257,669,522.72
  5. Step 5: Solve for x
    x = 257,669,522.72/16,415.69
  6. Step 6: Final answer
    x = 15,696.54

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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.