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Finding the Fourth Proportional to 16,401.70, 24,606.18 and 4,714

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Solution

The fourth proportional to 16,401.70, 24,606.18 and 4,714 is: 7,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.70 : 24,606.18 = 4,714 : x
  2. Step 2: Convert to fraction form
    16,401.70/24,606.18 = 4,714/x
  3. Step 3: Cross multiply
    16,401.70x = 24,606.18 × 4,714
  4. Step 4: Simplify right side
    16,401.70x = 115,993,532.52
  5. Step 5: Solve for x
    x = 115,993,532.52/16,401.70
  6. Step 6: Final answer
    x = 7,072.04

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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.