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Finding the Fourth Proportional to 16,813.98, 23,208.39 and 9,742.14

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Solution

The fourth proportional to 16,813.98, 23,208.39 and 9,742.14 is: 13,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.98 : 23,208.39 = 9,742.14 : x
  2. Step 2: Convert to fraction form
    16,813.98/23,208.39 = 9,742.14/x
  3. Step 3: Cross multiply
    16,813.98x = 23,208.39 × 9,742.14
  4. Step 4: Simplify right side
    16,813.98x = 226,099,384.55
  5. Step 5: Solve for x
    x = 226,099,384.55/16,813.98
  6. Step 6: Final answer
    x = 13,447.11

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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.