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Finding the Fourth Proportional to 16,450.68, 22,712.34 and 11,680.63

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Solution

The fourth proportional to 16,450.68, 22,712.34 and 11,680.63 is: 16,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.68 : 22,712.34 = 11,680.63 : x
  2. Step 2: Convert to fraction form
    16,450.68/22,712.34 = 11,680.63/x
  3. Step 3: Cross multiply
    16,450.68x = 22,712.34 × 11,680.63
  4. Step 4: Simplify right side
    16,450.68x = 265,294,408.74
  5. Step 5: Solve for x
    x = 265,294,408.74/16,450.68
  6. Step 6: Final answer
    x = 16,126.65

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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.