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Finding the Fourth Proportional to 12,055.84, 16,635.98 and 6,749.53

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Solution

The fourth proportional to 12,055.84, 16,635.98 and 6,749.53 is: 9,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.84 : 16,635.98 = 6,749.53 : x
  2. Step 2: Convert to fraction form
    12,055.84/16,635.98 = 6,749.53/x
  3. Step 3: Cross multiply
    12,055.84x = 16,635.98 × 6,749.53
  4. Step 4: Simplify right side
    12,055.84x = 112,285,021.37
  5. Step 5: Solve for x
    x = 112,285,021.37/12,055.84
  6. Step 6: Final answer
    x = 9,313.75

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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.