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Finding the Fourth Proportional to 14,982.23, 20,675.12 and 8,267.86

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Solution

The fourth proportional to 14,982.23, 20,675.12 and 8,267.86 is: 11,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.23 : 20,675.12 = 8,267.86 : x
  2. Step 2: Convert to fraction form
    14,982.23/20,675.12 = 8,267.86/x
  3. Step 3: Cross multiply
    14,982.23x = 20,675.12 × 8,267.86
  4. Step 4: Simplify right side
    14,982.23x = 170,938,997.64
  5. Step 5: Solve for x
    x = 170,938,997.64/14,982.23
  6. Step 6: Final answer
    x = 11,409.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.