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Finding the Fourth Proportional to 16,381.91, 22,591.44 and 10,714.88

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Solution

The fourth proportional to 16,381.91, 22,591.44 and 10,714.88 is: 14,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.91 : 22,591.44 = 10,714.88 : x
  2. Step 2: Convert to fraction form
    16,381.91/22,591.44 = 10,714.88/x
  3. Step 3: Cross multiply
    16,381.91x = 22,591.44 × 10,714.88
  4. Step 4: Simplify right side
    16,381.91x = 242,064,625.11
  5. Step 5: Solve for x
    x = 242,064,625.11/16,381.91
  6. Step 6: Final answer
    x = 14,776.33

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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.