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Finding the Fourth Proportional to 14,205.88, 21,309 and 5,441.32

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Solution

The fourth proportional to 14,205.88, 21,309 and 5,441.32 is: 8,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.88 : 21,309 = 5,441.32 : x
  2. Step 2: Convert to fraction form
    14,205.88/21,309 = 5,441.32/x
  3. Step 3: Cross multiply
    14,205.88x = 21,309 × 5,441.32
  4. Step 4: Simplify right side
    14,205.88x = 115,949,087.88
  5. Step 5: Solve for x
    x = 115,949,087.88/14,205.88
  6. Step 6: Final answer
    x = 8,162.05

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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.