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Finding the Fourth Proportional to 14,829, 20,467.46 and 9,794.24

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Solution

The fourth proportional to 14,829, 20,467.46 and 9,794.24 is: 13,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829 : 20,467.46 = 9,794.24 : x
  2. Step 2: Convert to fraction form
    14,829/20,467.46 = 9,794.24/x
  3. Step 3: Cross multiply
    14,829x = 20,467.46 × 9,794.24
  4. Step 4: Simplify right side
    14,829x = 200,463,215.43
  5. Step 5: Solve for x
    x = 200,463,215.43/14,829
  6. Step 6: Final answer
    x = 13,518.32

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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.