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Finding the Fourth Proportional to 16,415.64, 22,633.56 and 13,232.34

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Solution

The fourth proportional to 16,415.64, 22,633.56 and 13,232.34 is: 18,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.64 : 22,633.56 = 13,232.34 : x
  2. Step 2: Convert to fraction form
    16,415.64/22,633.56 = 13,232.34/x
  3. Step 3: Cross multiply
    16,415.64x = 22,633.56 × 13,232.34
  4. Step 4: Simplify right side
    16,415.64x = 299,494,961.33
  5. Step 5: Solve for x
    x = 299,494,961.33/16,415.64
  6. Step 6: Final answer
    x = 18,244.49

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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.