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Finding the Fourth Proportional to 13,749.69, 20,613.62 and 5,953.05

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Solution

The fourth proportional to 13,749.69, 20,613.62 and 5,953.05 is: 8,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.69 : 20,613.62 = 5,953.05 : x
  2. Step 2: Convert to fraction form
    13,749.69/20,613.62 = 5,953.05/x
  3. Step 3: Cross multiply
    13,749.69x = 20,613.62 × 5,953.05
  4. Step 4: Simplify right side
    13,749.69x = 122,713,880.78
  5. Step 5: Solve for x
    x = 122,713,880.78/13,749.69
  6. Step 6: Final answer
    x = 8,924.85

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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.