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Finding the Fourth Proportional to 16,349.81, 22,563.47 and 9,635.72

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Solution

The fourth proportional to 16,349.81, 22,563.47 and 9,635.72 is: 13,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.81 : 22,563.47 = 9,635.72 : x
  2. Step 2: Convert to fraction form
    16,349.81/22,563.47 = 9,635.72/x
  3. Step 3: Cross multiply
    16,349.81x = 22,563.47 × 9,635.72
  4. Step 4: Simplify right side
    16,349.81x = 217,415,166.33
  5. Step 5: Solve for x
    x = 217,415,166.33/16,349.81
  6. Step 6: Final answer
    x = 13,297.72

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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.