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Finding the Fourth Proportional to 16,054.97, 24,089.31 and 6,201.14

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Solution

The fourth proportional to 16,054.97, 24,089.31 and 6,201.14 is: 9,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.97 : 24,089.31 = 6,201.14 : x
  2. Step 2: Convert to fraction form
    16,054.97/24,089.31 = 6,201.14/x
  3. Step 3: Cross multiply
    16,054.97x = 24,089.31 × 6,201.14
  4. Step 4: Simplify right side
    16,054.97x = 149,381,063.37
  5. Step 5: Solve for x
    x = 149,381,063.37/16,054.97
  6. Step 6: Final answer
    x = 9,304.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.