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Finding the Fourth Proportional to 14,452.74, 21,673.94 and 6,133.34

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Solution

The fourth proportional to 14,452.74, 21,673.94 and 6,133.34 is: 9,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.74 : 21,673.94 = 6,133.34 : x
  2. Step 2: Convert to fraction form
    14,452.74/21,673.94 = 6,133.34/x
  3. Step 3: Cross multiply
    14,452.74x = 21,673.94 × 6,133.34
  4. Step 4: Simplify right side
    14,452.74x = 132,933,504.12
  5. Step 5: Solve for x
    x = 132,933,504.12/14,452.74
  6. Step 6: Final answer
    x = 9,197.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.