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Finding the Fourth Proportional to 14,014.74, 20,998.31 and 8,456.40

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Solution

The fourth proportional to 14,014.74, 20,998.31 and 8,456.40 is: 12,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.74 : 20,998.31 = 8,456.40 : x
  2. Step 2: Convert to fraction form
    14,014.74/20,998.31 = 8,456.40/x
  3. Step 3: Cross multiply
    14,014.74x = 20,998.31 × 8,456.40
  4. Step 4: Simplify right side
    14,014.74x = 177,570,137.75
  5. Step 5: Solve for x
    x = 177,570,137.75/14,014.74
  6. Step 6: Final answer
    x = 12,670.25

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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.