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Finding the Fourth Proportional to 10,714.44, 16,038.90 and 8,614.92

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Solution

The fourth proportional to 10,714.44, 16,038.90 and 8,614.92 is: 12,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.44 : 16,038.90 = 8,614.92 : x
  2. Step 2: Convert to fraction form
    10,714.44/16,038.90 = 8,614.92/x
  3. Step 3: Cross multiply
    10,714.44x = 16,038.90 × 8,614.92
  4. Step 4: Simplify right side
    10,714.44x = 138,173,840.39
  5. Step 5: Solve for x
    x = 138,173,840.39/10,714.44
  6. Step 6: Final answer
    x = 12,896.04

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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.