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Finding the Fourth Proportional to 16,415.94, 22,634.23 and 11,384.49

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Solution

The fourth proportional to 16,415.94, 22,634.23 and 11,384.49 is: 15,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.94 : 22,634.23 = 11,384.49 : x
  2. Step 2: Convert to fraction form
    16,415.94/22,634.23 = 11,384.49/x
  3. Step 3: Cross multiply
    16,415.94x = 22,634.23 × 11,384.49
  4. Step 4: Simplify right side
    16,415.94x = 257,679,165.09
  5. Step 5: Solve for x
    x = 257,679,165.09/16,415.94
  6. Step 6: Final answer
    x = 15,696.89

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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.