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Finding the Fourth Proportional to 16,401.34, 22,633.72 and 9,327.76

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Solution

The fourth proportional to 16,401.34, 22,633.72 and 9,327.76 is: 12,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.34 : 22,633.72 = 9,327.76 : x
  2. Step 2: Convert to fraction form
    16,401.34/22,633.72 = 9,327.76/x
  3. Step 3: Cross multiply
    16,401.34x = 22,633.72 × 9,327.76
  4. Step 4: Simplify right side
    16,401.34x = 211,121,908.07
  5. Step 5: Solve for x
    x = 211,121,908.07/16,401.34
  6. Step 6: Final answer
    x = 12,872.24

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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.