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Finding the Fourth Proportional to 16,709.65, 23,059.01 and 9,908.25

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Solution

The fourth proportional to 16,709.65, 23,059.01 and 9,908.25 is: 13,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.65 : 23,059.01 = 9,908.25 : x
  2. Step 2: Convert to fraction form
    16,709.65/23,059.01 = 9,908.25/x
  3. Step 3: Cross multiply
    16,709.65x = 23,059.01 × 9,908.25
  4. Step 4: Simplify right side
    16,709.65x = 228,474,320.54
  5. Step 5: Solve for x
    x = 228,474,320.54/16,709.65
  6. Step 6: Final answer
    x = 13,673.20

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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.