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Finding the Fourth Proportional to 13,998.76, 21,005.43 and 6,205.75

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Solution

The fourth proportional to 13,998.76, 21,005.43 and 6,205.75 is: 9,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.76 : 21,005.43 = 6,205.75 : x
  2. Step 2: Convert to fraction form
    13,998.76/21,005.43 = 6,205.75/x
  3. Step 3: Cross multiply
    13,998.76x = 21,005.43 × 6,205.75
  4. Step 4: Simplify right side
    13,998.76x = 130,354,447.22
  5. Step 5: Solve for x
    x = 130,354,447.22/13,998.76
  6. Step 6: Final answer
    x = 9,311.86

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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.