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Finding the Fourth Proportional to 14,942.70, 22,408.82 and 4,409.93

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Solution

The fourth proportional to 14,942.70, 22,408.82 and 4,409.93 is: 6,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.70 : 22,408.82 = 4,409.93 : x
  2. Step 2: Convert to fraction form
    14,942.70/22,408.82 = 4,409.93/x
  3. Step 3: Cross multiply
    14,942.70x = 22,408.82 × 4,409.93
  4. Step 4: Simplify right side
    14,942.70x = 98,821,215.54
  5. Step 5: Solve for x
    x = 98,821,215.54/14,942.70
  6. Step 6: Final answer
    x = 6,613.34

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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.