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Finding the Fourth Proportional to 17,078.16, 25,620.32 and 7,722.57

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Solution

The fourth proportional to 17,078.16, 25,620.32 and 7,722.57 is: 11,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.16 : 25,620.32 = 7,722.57 : x
  2. Step 2: Convert to fraction form
    17,078.16/25,620.32 = 7,722.57/x
  3. Step 3: Cross multiply
    17,078.16x = 25,620.32 × 7,722.57
  4. Step 4: Simplify right side
    17,078.16x = 197,854,676.01
  5. Step 5: Solve for x
    x = 197,854,676.01/17,078.16
  6. Step 6: Final answer
    x = 11,585.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.