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Finding the Fourth Proportional to 14,540.31, 20,059.65 and 9,233.19

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Solution

The fourth proportional to 14,540.31, 20,059.65 and 9,233.19 is: 12,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.31 : 20,059.65 = 9,233.19 : x
  2. Step 2: Convert to fraction form
    14,540.31/20,059.65 = 9,233.19/x
  3. Step 3: Cross multiply
    14,540.31x = 20,059.65 × 9,233.19
  4. Step 4: Simplify right side
    14,540.31x = 185,214,559.78
  5. Step 5: Solve for x
    x = 185,214,559.78/14,540.31
  6. Step 6: Final answer
    x = 12,738.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.