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Finding the Fourth Proportional to 12,004.11, 16,558.97 and 9,314.10

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Solution

The fourth proportional to 12,004.11, 16,558.97 and 9,314.10 is: 12,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.11 : 16,558.97 = 9,314.10 : x
  2. Step 2: Convert to fraction form
    12,004.11/16,558.97 = 9,314.10/x
  3. Step 3: Cross multiply
    12,004.11x = 16,558.97 × 9,314.10
  4. Step 4: Simplify right side
    12,004.11x = 154,231,855.91
  5. Step 5: Solve for x
    x = 154,231,855.91/12,004.11
  6. Step 6: Final answer
    x = 12,848.25

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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.