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Finding the Fourth Proportional to 16,334.42, 22,543.34 and 9,166.28

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Solution

The fourth proportional to 16,334.42, 22,543.34 and 9,166.28 is: 12,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.42 : 22,543.34 = 9,166.28 : x
  2. Step 2: Convert to fraction form
    16,334.42/22,543.34 = 9,166.28/x
  3. Step 3: Cross multiply
    16,334.42x = 22,543.34 × 9,166.28
  4. Step 4: Simplify right side
    16,334.42x = 206,638,408.03
  5. Step 5: Solve for x
    x = 206,638,408.03/16,334.42
  6. Step 6: Final answer
    x = 12,650.49

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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.