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Finding the Fourth Proportional to 17,834.48, 26,751.76 and 8,594

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Solution

The fourth proportional to 17,834.48, 26,751.76 and 8,594 is: 12,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.48 : 26,751.76 = 8,594 : x
  2. Step 2: Convert to fraction form
    17,834.48/26,751.76 = 8,594/x
  3. Step 3: Cross multiply
    17,834.48x = 26,751.76 × 8,594
  4. Step 4: Simplify right side
    17,834.48x = 229,904,625.44
  5. Step 5: Solve for x
    x = 229,904,625.44/17,834.48
  6. Step 6: Final answer
    x = 12,891.02

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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.