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Finding the Fourth Proportional to 16,093.68, 22,202.52 and 9,458.16

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Solution

The fourth proportional to 16,093.68, 22,202.52 and 9,458.16 is: 13,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.68 : 22,202.52 = 9,458.16 : x
  2. Step 2: Convert to fraction form
    16,093.68/22,202.52 = 9,458.16/x
  3. Step 3: Cross multiply
    16,093.68x = 22,202.52 × 9,458.16
  4. Step 4: Simplify right side
    16,093.68x = 209,994,986.56
  5. Step 5: Solve for x
    x = 209,994,986.56/16,093.68
  6. Step 6: Final answer
    x = 13,048.29

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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.