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Finding the Fourth Proportional to 14,410.32, 21,615.48 and 8,250

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Solution

The fourth proportional to 14,410.32, 21,615.48 and 8,250 is: 12,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.32 : 21,615.48 = 8,250 : x
  2. Step 2: Convert to fraction form
    14,410.32/21,615.48 = 8,250/x
  3. Step 3: Cross multiply
    14,410.32x = 21,615.48 × 8,250
  4. Step 4: Simplify right side
    14,410.32x = 178,327,710
  5. Step 5: Solve for x
    x = 178,327,710/14,410.32
  6. Step 6: Final answer
    x = 12,375

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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.