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Finding the Fourth Proportional to 16,964.31, 23,409.58 and 9,410.34

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Solution

The fourth proportional to 16,964.31, 23,409.58 and 9,410.34 is: 12,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.31 : 23,409.58 = 9,410.34 : x
  2. Step 2: Convert to fraction form
    16,964.31/23,409.58 = 9,410.34/x
  3. Step 3: Cross multiply
    16,964.31x = 23,409.58 × 9,410.34
  4. Step 4: Simplify right side
    16,964.31x = 220,292,107.06
  5. Step 5: Solve for x
    x = 220,292,107.06/16,964.31
  6. Step 6: Final answer
    x = 12,985.62

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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.