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Finding the Fourth Proportional to 12,129.49, 16,738.53 and 6,824.30

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Solution

The fourth proportional to 12,129.49, 16,738.53 and 6,824.30 is: 9,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.49 : 16,738.53 = 6,824.30 : x
  2. Step 2: Convert to fraction form
    12,129.49/16,738.53 = 6,824.30/x
  3. Step 3: Cross multiply
    12,129.49x = 16,738.53 × 6,824.30
  4. Step 4: Simplify right side
    12,129.49x = 114,228,750.28
  5. Step 5: Solve for x
    x = 114,228,750.28/12,129.49
  6. Step 6: Final answer
    x = 9,417.44

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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.