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Finding the Fourth Proportional to 19,198.68, 28,777.32 and 9,315.96

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Solution

The fourth proportional to 19,198.68, 28,777.32 and 9,315.96 is: 13,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.68 : 28,777.32 = 9,315.96 : x
  2. Step 2: Convert to fraction form
    19,198.68/28,777.32 = 9,315.96/x
  3. Step 3: Cross multiply
    19,198.68x = 28,777.32 × 9,315.96
  4. Step 4: Simplify right side
    19,198.68x = 268,088,362.03
  5. Step 5: Solve for x
    x = 268,088,362.03/19,198.68
  6. Step 6: Final answer
    x = 13,963.90

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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.