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Finding the Fourth Proportional to 19,714.77, 29,578.23 and 6,893.24

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Solution

The fourth proportional to 19,714.77, 29,578.23 and 6,893.24 is: 10,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.77 : 29,578.23 = 6,893.24 : x
  2. Step 2: Convert to fraction form
    19,714.77/29,578.23 = 6,893.24/x
  3. Step 3: Cross multiply
    19,714.77x = 29,578.23 × 6,893.24
  4. Step 4: Simplify right side
    19,714.77x = 203,889,690.27
  5. Step 5: Solve for x
    x = 203,889,690.27/19,714.77
  6. Step 6: Final answer
    x = 10,341.98

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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.