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Finding the Fourth Proportional to 17,408.73, 24,024.07 and 9,450.95

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Solution

The fourth proportional to 17,408.73, 24,024.07 and 9,450.95 is: 13,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.73 : 24,024.07 = 9,450.95 : x
  2. Step 2: Convert to fraction form
    17,408.73/24,024.07 = 9,450.95/x
  3. Step 3: Cross multiply
    17,408.73x = 24,024.07 × 9,450.95
  4. Step 4: Simplify right side
    17,408.73x = 227,050,284.37
  5. Step 5: Solve for x
    x = 227,050,284.37/17,408.73
  6. Step 6: Final answer
    x = 13,042.32

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1.5x scale

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.