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Finding the Fourth Proportional to 16,684.29, 23,016.99 and 9,966.56

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Solution

The fourth proportional to 16,684.29, 23,016.99 and 9,966.56 is: 13,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.29 : 23,016.99 = 9,966.56 : x
  2. Step 2: Convert to fraction form
    16,684.29/23,016.99 = 9,966.56/x
  3. Step 3: Cross multiply
    16,684.29x = 23,016.99 × 9,966.56
  4. Step 4: Simplify right side
    16,684.29x = 229,400,134.14
  5. Step 5: Solve for x
    x = 229,400,134.14/16,684.29
  6. Step 6: Final answer
    x = 13,749.47

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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.