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Finding the Fourth Proportional to 17,771.58, 26,644.19 and 8,400.65

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Solution

The fourth proportional to 17,771.58, 26,644.19 and 8,400.65 is: 12,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.58 : 26,644.19 = 8,400.65 : x
  2. Step 2: Convert to fraction form
    17,771.58/26,644.19 = 8,400.65/x
  3. Step 3: Cross multiply
    17,771.58x = 26,644.19 × 8,400.65
  4. Step 4: Simplify right side
    17,771.58x = 223,828,441.43
  5. Step 5: Solve for x
    x = 223,828,441.43/17,771.58
  6. Step 6: Final answer
    x = 12,594.74

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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.