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Finding the Fourth Proportional to 17,214.98, 25,818.22 and 4,734.40

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Solution

The fourth proportional to 17,214.98, 25,818.22 and 4,734.40 is: 7,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.98 : 25,818.22 = 4,734.40 : x
  2. Step 2: Convert to fraction form
    17,214.98/25,818.22 = 4,734.40/x
  3. Step 3: Cross multiply
    17,214.98x = 25,818.22 × 4,734.40
  4. Step 4: Simplify right side
    17,214.98x = 122,233,757.23
  5. Step 5: Solve for x
    x = 122,233,757.23/17,214.98
  6. Step 6: Final answer
    x = 7,100.43

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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.