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Finding the Fourth Proportional to 12,130.17, 16,739.62 and 6,824.97

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Solution

The fourth proportional to 12,130.17, 16,739.62 and 6,824.97 is: 9,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.17 : 16,739.62 = 6,824.97 : x
  2. Step 2: Convert to fraction form
    12,130.17/16,739.62 = 6,824.97/x
  3. Step 3: Cross multiply
    12,130.17x = 16,739.62 × 6,824.97
  4. Step 4: Simplify right side
    12,130.17x = 114,247,404.31
  5. Step 5: Solve for x
    x = 114,247,404.31/12,130.17
  6. Step 6: Final answer
    x = 9,418.45

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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.