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Finding the Fourth Proportional to 21,221.85, 31,956.08 and 15,714.21

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Solution

The fourth proportional to 21,221.85, 31,956.08 and 15,714.21 is: 23,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.85 : 31,956.08 = 15,714.21 : x
  2. Step 2: Convert to fraction form
    21,221.85/31,956.08 = 15,714.21/x
  3. Step 3: Cross multiply
    21,221.85x = 31,956.08 × 15,714.21
  4. Step 4: Simplify right side
    21,221.85x = 502,164,591.18
  5. Step 5: Solve for x
    x = 502,164,591.18/21,221.85
  6. Step 6: Final answer
    x = 23,662.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.