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Finding the Fourth Proportional to 16,349.93, 22,562.69 and 9,635.84

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Solution

The fourth proportional to 16,349.93, 22,562.69 and 9,635.84 is: 13,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.93 : 22,562.69 = 9,635.84 : x
  2. Step 2: Convert to fraction form
    16,349.93/22,562.69 = 9,635.84/x
  3. Step 3: Cross multiply
    16,349.93x = 22,562.69 × 9,635.84
  4. Step 4: Simplify right side
    16,349.93x = 217,410,551.31
  5. Step 5: Solve for x
    x = 217,410,551.31/16,349.93
  6. Step 6: Final answer
    x = 13,297.34

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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.