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Finding the Fourth Proportional to 14,410.44, 19,886.31 and 8,440.83

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Solution

The fourth proportional to 14,410.44, 19,886.31 and 8,440.83 is: 11,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.44 : 19,886.31 = 8,440.83 : x
  2. Step 2: Convert to fraction form
    14,410.44/19,886.31 = 8,440.83/x
  3. Step 3: Cross multiply
    14,410.44x = 19,886.31 × 8,440.83
  4. Step 4: Simplify right side
    14,410.44x = 167,856,962.04
  5. Step 5: Solve for x
    x = 167,856,962.04/14,410.44
  6. Step 6: Final answer
    x = 11,648.29

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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.