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Finding the Fourth Proportional to 16,059.14, 24,089.79 and 6,198.50

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Solution

The fourth proportional to 16,059.14, 24,089.79 and 6,198.50 is: 9,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,059.14 : 24,089.79 = 6,198.50 : x
  2. Step 2: Convert to fraction form
    16,059.14/24,089.79 = 6,198.50/x
  3. Step 3: Cross multiply
    16,059.14x = 24,089.79 × 6,198.50
  4. Step 4: Simplify right side
    16,059.14x = 149,320,563.32
  5. Step 5: Solve for x
    x = 149,320,563.32/16,059.14
  6. Step 6: Final answer
    x = 9,298.17

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Why These Related Problems?

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