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Finding the Fourth Proportional to 12,301.34, 16,977.24 and 6,850.94

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Solution

The fourth proportional to 12,301.34, 16,977.24 and 6,850.94 is: 9,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.34 : 16,977.24 = 6,850.94 : x
  2. Step 2: Convert to fraction form
    12,301.34/16,977.24 = 6,850.94/x
  3. Step 3: Cross multiply
    12,301.34x = 16,977.24 × 6,850.94
  4. Step 4: Simplify right side
    12,301.34x = 116,309,967.72
  5. Step 5: Solve for x
    x = 116,309,967.72/12,301.34
  6. Step 6: Final answer
    x = 9,455.07

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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.