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Finding the Fourth Proportional to 16,961.58, 23,409.78 and 9,410.34

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Solution

The fourth proportional to 16,961.58, 23,409.78 and 9,410.34 is: 12,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.58 : 23,409.78 = 9,410.34 : x
  2. Step 2: Convert to fraction form
    16,961.58/23,409.78 = 9,410.34/x
  3. Step 3: Cross multiply
    16,961.58x = 23,409.78 × 9,410.34
  4. Step 4: Simplify right side
    16,961.58x = 220,293,883.55
  5. Step 5: Solve for x
    x = 220,293,883.55/16,961.58
  6. Step 6: Final answer
    x = 12,987.82

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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.