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Finding the Fourth Proportional to 19,714.14, 29,555.50 and 11,384.70

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Solution

The fourth proportional to 19,714.14, 29,555.50 and 11,384.70 is: 17,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.14 : 29,555.50 = 11,384.70 : x
  2. Step 2: Convert to fraction form
    19,714.14/29,555.50 = 11,384.70/x
  3. Step 3: Cross multiply
    19,714.14x = 29,555.50 × 11,384.70
  4. Step 4: Simplify right side
    19,714.14x = 336,480,500.85
  5. Step 5: Solve for x
    x = 336,480,500.85/19,714.14
  6. Step 6: Final answer
    x = 17,067.98

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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.