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Finding the Fourth Proportional to 19,324, 28,975.35 and 5,993.31

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Solution

The fourth proportional to 19,324, 28,975.35 and 5,993.31 is: 8,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324 : 28,975.35 = 5,993.31 : x
  2. Step 2: Convert to fraction form
    19,324/28,975.35 = 5,993.31/x
  3. Step 3: Cross multiply
    19,324x = 28,975.35 × 5,993.31
  4. Step 4: Simplify right side
    19,324x = 173,658,110.03
  5. Step 5: Solve for x
    x = 173,658,110.03/19,324
  6. Step 6: Final answer
    x = 8,986.65

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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.