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Finding the Fourth Proportional to 21,714.62, 29,961 and 13,216.65

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Solution

The fourth proportional to 21,714.62, 29,961 and 13,216.65 is: 18,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.62 : 29,961 = 13,216.65 : x
  2. Step 2: Convert to fraction form
    21,714.62/29,961 = 13,216.65/x
  3. Step 3: Cross multiply
    21,714.62x = 29,961 × 13,216.65
  4. Step 4: Simplify right side
    21,714.62x = 395,983,938.30
  5. Step 5: Solve for x
    x = 395,983,938.30/21,714.62
  6. Step 6: Final answer
    x = 18,235.83

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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.