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Finding the Fourth Proportional to 12,130.29, 16,738.91 and 6,824.09

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Solution

The fourth proportional to 12,130.29, 16,738.91 and 6,824.09 is: 9,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.29 : 16,738.91 = 6,824.09 : x
  2. Step 2: Convert to fraction form
    12,130.29/16,738.91 = 6,824.09/x
  3. Step 3: Cross multiply
    12,130.29x = 16,738.91 × 6,824.09
  4. Step 4: Simplify right side
    12,130.29x = 114,227,710.53
  5. Step 5: Solve for x
    x = 114,227,710.53/12,130.29
  6. Step 6: Final answer
    x = 9,416.73

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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.