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Finding the Fourth Proportional to 19,311.90, 28,967.88 and 6,825.09

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Solution

The fourth proportional to 19,311.90, 28,967.88 and 6,825.09 is: 10,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.90 : 28,967.88 = 6,825.09 : x
  2. Step 2: Convert to fraction form
    19,311.90/28,967.88 = 6,825.09/x
  3. Step 3: Cross multiply
    19,311.90x = 28,967.88 × 6,825.09
  4. Step 4: Simplify right side
    19,311.90x = 197,708,388.11
  5. Step 5: Solve for x
    x = 197,708,388.11/19,311.90
  6. Step 6: Final answer
    x = 10,237.65

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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.