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Finding the Fourth Proportional to 16,463.64, 22,714.20 and 9,384.96

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Solution

The fourth proportional to 16,463.64, 22,714.20 and 9,384.96 is: 12,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.64 : 22,714.20 = 9,384.96 : x
  2. Step 2: Convert to fraction form
    16,463.64/22,714.20 = 9,384.96/x
  3. Step 3: Cross multiply
    16,463.64x = 22,714.20 × 9,384.96
  4. Step 4: Simplify right side
    16,463.64x = 213,171,858.43
  5. Step 5: Solve for x
    x = 213,171,858.43/16,463.64
  6. Step 6: Final answer
    x = 12,948.04

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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.