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Finding the Fourth Proportional to 14,556.40, 20,094.14 and 9,183.67

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Solution

The fourth proportional to 14,556.40, 20,094.14 and 9,183.67 is: 12,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.40 : 20,094.14 = 9,183.67 : x
  2. Step 2: Convert to fraction form
    14,556.40/20,094.14 = 9,183.67/x
  3. Step 3: Cross multiply
    14,556.40x = 20,094.14 × 9,183.67
  4. Step 4: Simplify right side
    14,556.40x = 184,537,950.69
  5. Step 5: Solve for x
    x = 184,537,950.69/14,556.40
  6. Step 6: Final answer
    x = 12,677.44

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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.