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Finding the Fourth Proportional to 17,605.40, 26,408.10 and 7,224.60

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Solution

The fourth proportional to 17,605.40, 26,408.10 and 7,224.60 is: 10,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.40 : 26,408.10 = 7,224.60 : x
  2. Step 2: Convert to fraction form
    17,605.40/26,408.10 = 7,224.60/x
  3. Step 3: Cross multiply
    17,605.40x = 26,408.10 × 7,224.60
  4. Step 4: Simplify right side
    17,605.40x = 190,787,959.26
  5. Step 5: Solve for x
    x = 190,787,959.26/17,605.40
  6. Step 6: Final answer
    x = 10,836.90

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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.