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Finding the Fourth Proportional to 12,657.95, 17,467.87 and 6,993.10

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Solution

The fourth proportional to 12,657.95, 17,467.87 and 6,993.10 is: 9,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.95 : 17,467.87 = 6,993.10 : x
  2. Step 2: Convert to fraction form
    12,657.95/17,467.87 = 6,993.10/x
  3. Step 3: Cross multiply
    12,657.95x = 17,467.87 × 6,993.10
  4. Step 4: Simplify right side
    12,657.95x = 122,154,579.16
  5. Step 5: Solve for x
    x = 122,154,579.16/12,657.95
  6. Step 6: Final answer
    x = 9,650.42

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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.