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Finding the Fourth Proportional to 12,924.76, 19,387.26 and 8,311

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Solution

The fourth proportional to 12,924.76, 19,387.26 and 8,311 is: 12,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.76 : 19,387.26 = 8,311 : x
  2. Step 2: Convert to fraction form
    12,924.76/19,387.26 = 8,311/x
  3. Step 3: Cross multiply
    12,924.76x = 19,387.26 × 8,311
  4. Step 4: Simplify right side
    12,924.76x = 161,127,517.86
  5. Step 5: Solve for x
    x = 161,127,517.86/12,924.76
  6. Step 6: Final answer
    x = 12,466.58

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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.