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Finding the Fourth Proportional to 17,290, 23,860.20 and 9,838

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Solution

The fourth proportional to 17,290, 23,860.20 and 9,838 is: 13,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290 : 23,860.20 = 9,838 : x
  2. Step 2: Convert to fraction form
    17,290/23,860.20 = 9,838/x
  3. Step 3: Cross multiply
    17,290x = 23,860.20 × 9,838
  4. Step 4: Simplify right side
    17,290x = 234,736,647.60
  5. Step 5: Solve for x
    x = 234,736,647.60/17,290
  6. Step 6: Final answer
    x = 13,576.44

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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.