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Finding the Fourth Proportional to 16,401.42, 24,602.51 and 5,872.16

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Solution

The fourth proportional to 16,401.42, 24,602.51 and 5,872.16 is: 8,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.42 : 24,602.51 = 5,872.16 : x
  2. Step 2: Convert to fraction form
    16,401.42/24,602.51 = 5,872.16/x
  3. Step 3: Cross multiply
    16,401.42x = 24,602.51 × 5,872.16
  4. Step 4: Simplify right side
    16,401.42x = 144,469,722.75
  5. Step 5: Solve for x
    x = 144,469,722.75/16,401.42
  6. Step 6: Final answer
    x = 8,808.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.