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Finding the Fourth Proportional to 20,198.84, 30,298.47 and 7,051.25

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Solution

The fourth proportional to 20,198.84, 30,298.47 and 7,051.25 is: 10,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.84 : 30,298.47 = 7,051.25 : x
  2. Step 2: Convert to fraction form
    20,198.84/30,298.47 = 7,051.25/x
  3. Step 3: Cross multiply
    20,198.84x = 30,298.47 × 7,051.25
  4. Step 4: Simplify right side
    20,198.84x = 213,641,935.10
  5. Step 5: Solve for x
    x = 213,641,935.10/20,198.84
  6. Step 6: Final answer
    x = 10,576.94

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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.