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Finding the Fourth Proportional to 15,704.12, 21,662.07 and 9,326.39

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Solution

The fourth proportional to 15,704.12, 21,662.07 and 9,326.39 is: 12,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.12 : 21,662.07 = 9,326.39 : x
  2. Step 2: Convert to fraction form
    15,704.12/21,662.07 = 9,326.39/x
  3. Step 3: Cross multiply
    15,704.12x = 21,662.07 × 9,326.39
  4. Step 4: Simplify right side
    15,704.12x = 202,028,913.03
  5. Step 5: Solve for x
    x = 202,028,913.03/15,704.12
  6. Step 6: Final answer
    x = 12,864.71

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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.