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Finding the Fourth Proportional to 20,472.30, 30,715.70 and 11,714.58

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Solution

The fourth proportional to 20,472.30, 30,715.70 and 11,714.58 is: 17,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.30 : 30,715.70 = 11,714.58 : x
  2. Step 2: Convert to fraction form
    20,472.30/30,715.70 = 11,714.58/x
  3. Step 3: Cross multiply
    20,472.30x = 30,715.70 × 11,714.58
  4. Step 4: Simplify right side
    20,472.30x = 359,821,524.91
  5. Step 5: Solve for x
    x = 359,821,524.91/20,472.30
  6. Step 6: Final answer
    x = 17,576.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.