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Finding the Fourth Proportional to 12,129.85, 16,740.17 and 6,824.35

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Solution

The fourth proportional to 12,129.85, 16,740.17 and 6,824.35 is: 9,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.85 : 16,740.17 = 6,824.35 : x
  2. Step 2: Convert to fraction form
    12,129.85/16,740.17 = 6,824.35/x
  3. Step 3: Cross multiply
    12,129.85x = 16,740.17 × 6,824.35
  4. Step 4: Simplify right side
    12,129.85x = 114,240,745.02
  5. Step 5: Solve for x
    x = 114,240,745.02/12,129.85
  6. Step 6: Final answer
    x = 9,418.15

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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.