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Finding the Fourth Proportional to 12,932.69, 17,846.44 and 7,267.67

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Solution

The fourth proportional to 12,932.69, 17,846.44 and 7,267.67 is: 10,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.69 : 17,846.44 = 7,267.67 : x
  2. Step 2: Convert to fraction form
    12,932.69/17,846.44 = 7,267.67/x
  3. Step 3: Cross multiply
    12,932.69x = 17,846.44 × 7,267.67
  4. Step 4: Simplify right side
    12,932.69x = 129,701,929.19
  5. Step 5: Solve for x
    x = 129,701,929.19/12,932.69
  6. Step 6: Final answer
    x = 10,029.00

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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.