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Finding the Fourth Proportional to 11,835.04, 16,401.40 and 11,668

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Solution

The fourth proportional to 11,835.04, 16,401.40 and 11,668 is: 16,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.04 : 16,401.40 = 11,668 : x
  2. Step 2: Convert to fraction form
    11,835.04/16,401.40 = 11,668/x
  3. Step 3: Cross multiply
    11,835.04x = 16,401.40 × 11,668
  4. Step 4: Simplify right side
    11,835.04x = 191,371,535.20
  5. Step 5: Solve for x
    x = 191,371,535.20/11,835.04
  6. Step 6: Final answer
    x = 16,169.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.