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Finding the Fourth Proportional to 12,506.44, 18,747.24 and 6,962.32

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Solution

The fourth proportional to 12,506.44, 18,747.24 and 6,962.32 is: 10,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.44 : 18,747.24 = 6,962.32 : x
  2. Step 2: Convert to fraction form
    12,506.44/18,747.24 = 6,962.32/x
  3. Step 3: Cross multiply
    12,506.44x = 18,747.24 × 6,962.32
  4. Step 4: Simplify right side
    12,506.44x = 130,524,284.00
  5. Step 5: Solve for x
    x = 130,524,284.00/12,506.44
  6. Step 6: Final answer
    x = 10,436.57

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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.