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Finding the Fourth Proportional to 14,201.75, 21,305.75 and 4,205.72

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Solution

The fourth proportional to 14,201.75, 21,305.75 and 4,205.72 is: 6,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.75 : 21,305.75 = 4,205.72 : x
  2. Step 2: Convert to fraction form
    14,201.75/21,305.75 = 4,205.72/x
  3. Step 3: Cross multiply
    14,201.75x = 21,305.75 × 4,205.72
  4. Step 4: Simplify right side
    14,201.75x = 89,606,018.89
  5. Step 5: Solve for x
    x = 89,606,018.89/14,201.75
  6. Step 6: Final answer
    x = 6,309.51

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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.