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Finding the Fourth Proportional to 19,072.18, 28,597.54 and 7,824.42

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Solution

The fourth proportional to 19,072.18, 28,597.54 and 7,824.42 is: 11,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072.18 : 28,597.54 = 7,824.42 : x
  2. Step 2: Convert to fraction form
    19,072.18/28,597.54 = 7,824.42/x
  3. Step 3: Cross multiply
    19,072.18x = 28,597.54 × 7,824.42
  4. Step 4: Simplify right side
    19,072.18x = 223,759,163.93
  5. Step 5: Solve for x
    x = 223,759,163.93/19,072.18
  6. Step 6: Final answer
    x = 11,732.23

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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.