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Finding the Fourth Proportional to 12,657.76, 17,467.40 and 6,992.98

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Solution

The fourth proportional to 12,657.76, 17,467.40 and 6,992.98 is: 9,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.76 : 17,467.40 = 6,992.98 : x
  2. Step 2: Convert to fraction form
    12,657.76/17,467.40 = 6,992.98/x
  3. Step 3: Cross multiply
    12,657.76x = 17,467.40 × 6,992.98
  4. Step 4: Simplify right side
    12,657.76x = 122,149,178.85
  5. Step 5: Solve for x
    x = 122,149,178.85/12,657.76
  6. Step 6: Final answer
    x = 9,650.14

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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.