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Finding the Fourth Proportional to 19,198.56, 28,744.32 and 9,818.40

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Solution

The fourth proportional to 19,198.56, 28,744.32 and 9,818.40 is: 14,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.56 : 28,744.32 = 9,818.40 : x
  2. Step 2: Convert to fraction form
    19,198.56/28,744.32 = 9,818.40/x
  3. Step 3: Cross multiply
    19,198.56x = 28,744.32 × 9,818.40
  4. Step 4: Simplify right side
    19,198.56x = 282,223,231.49
  5. Step 5: Solve for x
    x = 282,223,231.49/19,198.56
  6. Step 6: Final answer
    x = 14,700.23

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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.