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Finding the Fourth Proportional to 13,431.50, 20,145.09 and 9,524.06

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Solution

The fourth proportional to 13,431.50, 20,145.09 and 9,524.06 is: 14,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.50 : 20,145.09 = 9,524.06 : x
  2. Step 2: Convert to fraction form
    13,431.50/20,145.09 = 9,524.06/x
  3. Step 3: Cross multiply
    13,431.50x = 20,145.09 × 9,524.06
  4. Step 4: Simplify right side
    13,431.50x = 191,863,045.87
  5. Step 5: Solve for x
    x = 191,863,045.87/13,431.50
  6. Step 6: Final answer
    x = 14,284.56

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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.