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Finding the Fourth Proportional to 12,657.85, 17,467.66 and 6,992.82

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Solution

The fourth proportional to 12,657.85, 17,467.66 and 6,992.82 is: 9,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.85 : 17,467.66 = 6,992.82 : x
  2. Step 2: Convert to fraction form
    12,657.85/17,467.66 = 6,992.82/x
  3. Step 3: Cross multiply
    12,657.85x = 17,467.66 × 6,992.82
  4. Step 4: Simplify right side
    12,657.85x = 122,148,202.20
  5. Step 5: Solve for x
    x = 122,148,202.20/12,657.85
  6. Step 6: Final answer
    x = 9,650.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.