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Finding the Fourth Proportional to 16,881.75, 23,296.82 and 9,429.75

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Solution

The fourth proportional to 16,881.75, 23,296.82 and 9,429.75 is: 13,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.75 : 23,296.82 = 9,429.75 : x
  2. Step 2: Convert to fraction form
    16,881.75/23,296.82 = 9,429.75/x
  3. Step 3: Cross multiply
    16,881.75x = 23,296.82 × 9,429.75
  4. Step 4: Simplify right side
    16,881.75x = 219,683,141.25
  5. Step 5: Solve for x
    x = 219,683,141.25/16,881.75
  6. Step 6: Final answer
    x = 13,013.06

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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.