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Finding the Fourth Proportional to 17,135.85, 25,704.21 and 8,127.86

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Solution

The fourth proportional to 17,135.85, 25,704.21 and 8,127.86 is: 12,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.85 : 25,704.21 = 8,127.86 : x
  2. Step 2: Convert to fraction form
    17,135.85/25,704.21 = 8,127.86/x
  3. Step 3: Cross multiply
    17,135.85x = 25,704.21 × 8,127.86
  4. Step 4: Simplify right side
    17,135.85x = 208,920,051.13
  5. Step 5: Solve for x
    x = 208,920,051.13/17,135.85
  6. Step 6: Final answer
    x = 12,191.99

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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.