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Finding the Fourth Proportional to 19,096.95, 28,616.40 and 9,224.40

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Solution

The fourth proportional to 19,096.95, 28,616.40 and 9,224.40 is: 13,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.95 : 28,616.40 = 9,224.40 : x
  2. Step 2: Convert to fraction form
    19,096.95/28,616.40 = 9,224.40/x
  3. Step 3: Cross multiply
    19,096.95x = 28,616.40 × 9,224.40
  4. Step 4: Simplify right side
    19,096.95x = 263,969,120.16
  5. Step 5: Solve for x
    x = 263,969,120.16/19,096.95
  6. Step 6: Final answer
    x = 13,822.58

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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.