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Finding the Fourth Proportional to 18,980.24, 28,467.42 and 6,497.39

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Solution

The fourth proportional to 18,980.24, 28,467.42 and 6,497.39 is: 9,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,980.24 : 28,467.42 = 6,497.39 : x
  2. Step 2: Convert to fraction form
    18,980.24/28,467.42 = 6,497.39/x
  3. Step 3: Cross multiply
    18,980.24x = 28,467.42 × 6,497.39
  4. Step 4: Simplify right side
    18,980.24x = 184,963,787.70
  5. Step 5: Solve for x
    x = 184,963,787.70/18,980.24
  6. Step 6: Final answer
    x = 9,745.07

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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.