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Finding the Fourth Proportional to 17,214, 25,825.32 and 4,902

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Solution

The fourth proportional to 17,214, 25,825.32 and 4,902 is: 7,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214 : 25,825.32 = 4,902 : x
  2. Step 2: Convert to fraction form
    17,214/25,825.32 = 4,902/x
  3. Step 3: Cross multiply
    17,214x = 25,825.32 × 4,902
  4. Step 4: Simplify right side
    17,214x = 126,595,718.64
  5. Step 5: Solve for x
    x = 126,595,718.64/17,214
  6. Step 6: Final answer
    x = 7,354.23

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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.