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Finding the Fourth Proportional to 16,113.10, 22,231.54 and 10,448.09

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Solution

The fourth proportional to 16,113.10, 22,231.54 and 10,448.09 is: 14,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.10 : 22,231.54 = 10,448.09 : x
  2. Step 2: Convert to fraction form
    16,113.10/22,231.54 = 10,448.09/x
  3. Step 3: Cross multiply
    16,113.10x = 22,231.54 × 10,448.09
  4. Step 4: Simplify right side
    16,113.10x = 232,277,086.64
  5. Step 5: Solve for x
    x = 232,277,086.64/16,113.10
  6. Step 6: Final answer
    x = 14,415.42

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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.