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Finding the Fourth Proportional to 16,808.06, 23,201.47 and 13,213.64

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Solution

The fourth proportional to 16,808.06, 23,201.47 and 13,213.64 is: 18,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.06 : 23,201.47 = 13,213.64 : x
  2. Step 2: Convert to fraction form
    16,808.06/23,201.47 = 13,213.64/x
  3. Step 3: Cross multiply
    16,808.06x = 23,201.47 × 13,213.64
  4. Step 4: Simplify right side
    16,808.06x = 306,575,946.57
  5. Step 5: Solve for x
    x = 306,575,946.57/16,808.06
  6. Step 6: Final answer
    x = 18,239.81

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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.