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Finding the Fourth Proportional to 19,052.70, 28,597.50 and 9,198.90

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Solution

The fourth proportional to 19,052.70, 28,597.50 and 9,198.90 is: 13,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,052.70 : 28,597.50 = 9,198.90 : x
  2. Step 2: Convert to fraction form
    19,052.70/28,597.50 = 9,198.90/x
  3. Step 3: Cross multiply
    19,052.70x = 28,597.50 × 9,198.90
  4. Step 4: Simplify right side
    19,052.70x = 263,065,542.75
  5. Step 5: Solve for x
    x = 263,065,542.75/19,052.70
  6. Step 6: Final answer
    x = 13,807.26

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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.