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Finding the Fourth Proportional to 16,701.68, 23,046.36 and 9,628.40

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Solution

The fourth proportional to 16,701.68, 23,046.36 and 9,628.40 is: 13,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.68 : 23,046.36 = 9,628.40 : x
  2. Step 2: Convert to fraction form
    16,701.68/23,046.36 = 9,628.40/x
  3. Step 3: Cross multiply
    16,701.68x = 23,046.36 × 9,628.40
  4. Step 4: Simplify right side
    16,701.68x = 221,899,572.62
  5. Step 5: Solve for x
    x = 221,899,572.62/16,701.68
  6. Step 6: Final answer
    x = 13,286.06

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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.