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Finding the Fourth Proportional to 12,421, 17,141.07 and 6,832

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Solution

The fourth proportional to 12,421, 17,141.07 and 6,832 is: 9,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421 : 17,141.07 = 6,832 : x
  2. Step 2: Convert to fraction form
    12,421/17,141.07 = 6,832/x
  3. Step 3: Cross multiply
    12,421x = 17,141.07 × 6,832
  4. Step 4: Simplify right side
    12,421x = 117,107,790.24
  5. Step 5: Solve for x
    x = 117,107,790.24/12,421
  6. Step 6: Final answer
    x = 9,428.21

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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.