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Finding the Fourth Proportional to 13,329, 18,394.02 and 7,441

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Solution

The fourth proportional to 13,329, 18,394.02 and 7,441 is: 10,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329 : 18,394.02 = 7,441 : x
  2. Step 2: Convert to fraction form
    13,329/18,394.02 = 7,441/x
  3. Step 3: Cross multiply
    13,329x = 18,394.02 × 7,441
  4. Step 4: Simplify right side
    13,329x = 136,869,902.82
  5. Step 5: Solve for x
    x = 136,869,902.82/13,329
  6. Step 6: Final answer
    x = 10,268.58

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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.