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Finding the Fourth Proportional to 16,808.50, 23,190.06 and 9,732.34

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Solution

The fourth proportional to 16,808.50, 23,190.06 and 9,732.34 is: 13,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.50 : 23,190.06 = 9,732.34 : x
  2. Step 2: Convert to fraction form
    16,808.50/23,190.06 = 9,732.34/x
  3. Step 3: Cross multiply
    16,808.50x = 23,190.06 × 9,732.34
  4. Step 4: Simplify right side
    16,808.50x = 225,693,548.54
  5. Step 5: Solve for x
    x = 225,693,548.54/16,808.50
  6. Step 6: Final answer
    x = 13,427.35

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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.