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Finding the Fourth Proportional to 17,408.40, 26,120.70 and 9,097.80

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Solution

The fourth proportional to 17,408.40, 26,120.70 and 9,097.80 is: 13,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.40 : 26,120.70 = 9,097.80 : x
  2. Step 2: Convert to fraction form
    17,408.40/26,120.70 = 9,097.80/x
  3. Step 3: Cross multiply
    17,408.40x = 26,120.70 × 9,097.80
  4. Step 4: Simplify right side
    17,408.40x = 237,640,904.46
  5. Step 5: Solve for x
    x = 237,640,904.46/17,408.40
  6. Step 6: Final answer
    x = 13,650.93

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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.