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Finding the Fourth Proportional to 12,131.16, 16,741 and 6,825.98

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Solution

The fourth proportional to 12,131.16, 16,741 and 6,825.98 is: 9,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.16 : 16,741 = 6,825.98 : x
  2. Step 2: Convert to fraction form
    12,131.16/16,741 = 6,825.98/x
  3. Step 3: Cross multiply
    12,131.16x = 16,741 × 6,825.98
  4. Step 4: Simplify right side
    12,131.16x = 114,273,731.18
  5. Step 5: Solve for x
    x = 114,273,731.18/12,131.16
  6. Step 6: Final answer
    x = 9,419.85

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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.