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Finding the Fourth Proportional to 12,132.18, 16,744.02 and 6,828.03

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Solution

The fourth proportional to 12,132.18, 16,744.02 and 6,828.03 is: 9,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.18 : 16,744.02 = 6,828.03 : x
  2. Step 2: Convert to fraction form
    12,132.18/16,744.02 = 6,828.03/x
  3. Step 3: Cross multiply
    12,132.18x = 16,744.02 × 6,828.03
  4. Step 4: Simplify right side
    12,132.18x = 114,328,645.28
  5. Step 5: Solve for x
    x = 114,328,645.28/12,132.18
  6. Step 6: Final answer
    x = 9,423.59

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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.