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Finding the Fourth Proportional to 16,801.34, 23,186.16 and 9,731.85

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Solution

The fourth proportional to 16,801.34, 23,186.16 and 9,731.85 is: 13,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.34 : 23,186.16 = 9,731.85 : x
  2. Step 2: Convert to fraction form
    16,801.34/23,186.16 = 9,731.85/x
  3. Step 3: Cross multiply
    16,801.34x = 23,186.16 × 9,731.85
  4. Step 4: Simplify right side
    16,801.34x = 225,644,231.20
  5. Step 5: Solve for x
    x = 225,644,231.20/16,801.34
  6. Step 6: Final answer
    x = 13,430.14

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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.