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Finding the Fourth Proportional to 14,284.05, 19,714.39 and 8,319.21

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Solution

The fourth proportional to 14,284.05, 19,714.39 and 8,319.21 is: 11,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.05 : 19,714.39 = 8,319.21 : x
  2. Step 2: Convert to fraction form
    14,284.05/19,714.39 = 8,319.21/x
  3. Step 3: Cross multiply
    14,284.05x = 19,714.39 × 8,319.21
  4. Step 4: Simplify right side
    14,284.05x = 164,008,055.70
  5. Step 5: Solve for x
    x = 164,008,055.70/14,284.05
  6. Step 6: Final answer
    x = 11,481.90

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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.