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Finding the Fourth Proportional to 12,053.81, 16,634.26 and 6,749.43

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Solution

The fourth proportional to 12,053.81, 16,634.26 and 6,749.43 is: 9,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.81 : 16,634.26 = 6,749.43 : x
  2. Step 2: Convert to fraction form
    12,053.81/16,634.26 = 6,749.43/x
  3. Step 3: Cross multiply
    12,053.81x = 16,634.26 × 6,749.43
  4. Step 4: Simplify right side
    12,053.81x = 112,271,719.53
  5. Step 5: Solve for x
    x = 112,271,719.53/12,053.81
  6. Step 6: Final answer
    x = 9,314.21

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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.