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Finding the Fourth Proportional to 14,714.57, 20,305.67 and 8,341.75

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Solution

The fourth proportional to 14,714.57, 20,305.67 and 8,341.75 is: 11,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.57 : 20,305.67 = 8,341.75 : x
  2. Step 2: Convert to fraction form
    14,714.57/20,305.67 = 8,341.75/x
  3. Step 3: Cross multiply
    14,714.57x = 20,305.67 × 8,341.75
  4. Step 4: Simplify right side
    14,714.57x = 169,384,822.72
  5. Step 5: Solve for x
    x = 169,384,822.72/14,714.57
  6. Step 6: Final answer
    x = 11,511.37

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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.