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Finding the Fourth Proportional to 13,423.40, 18,520.94 and 8,046.68

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Solution

The fourth proportional to 13,423.40, 18,520.94 and 8,046.68 is: 11,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.40 : 18,520.94 = 8,046.68 : x
  2. Step 2: Convert to fraction form
    13,423.40/18,520.94 = 8,046.68/x
  3. Step 3: Cross multiply
    13,423.40x = 18,520.94 × 8,046.68
  4. Step 4: Simplify right side
    13,423.40x = 149,032,077.48
  5. Step 5: Solve for x
    x = 149,032,077.48/13,423.40
  6. Step 6: Final answer
    x = 11,102.41

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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.