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Finding the Fourth Proportional to 12,049.61, 16,628.47 and 6,744.43

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Solution

The fourth proportional to 12,049.61, 16,628.47 and 6,744.43 is: 9,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.61 : 16,628.47 = 6,744.43 : x
  2. Step 2: Convert to fraction form
    12,049.61/16,628.47 = 6,744.43/x
  3. Step 3: Cross multiply
    12,049.61x = 16,628.47 × 6,744.43
  4. Step 4: Simplify right side
    12,049.61x = 112,149,551.92
  5. Step 5: Solve for x
    x = 112,149,551.92/12,049.61
  6. Step 6: Final answer
    x = 9,307.32

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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.