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Finding the Fourth Proportional to 14,249.72, 19,664.70 and 8,285.16

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Solution

The fourth proportional to 14,249.72, 19,664.70 and 8,285.16 is: 11,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.72 : 19,664.70 = 8,285.16 : x
  2. Step 2: Convert to fraction form
    14,249.72/19,664.70 = 8,285.16/x
  3. Step 3: Cross multiply
    14,249.72x = 19,664.70 × 8,285.16
  4. Step 4: Simplify right side
    14,249.72x = 162,925,185.85
  5. Step 5: Solve for x
    x = 162,925,185.85/14,249.72
  6. Step 6: Final answer
    x = 11,433.57

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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.