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Finding the Fourth Proportional to 14,254.31, 19,672.16 and 8,285.60

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Solution

The fourth proportional to 14,254.31, 19,672.16 and 8,285.60 is: 11,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.31 : 19,672.16 = 8,285.60 : x
  2. Step 2: Convert to fraction form
    14,254.31/19,672.16 = 8,285.60/x
  3. Step 3: Cross multiply
    14,254.31x = 19,672.16 × 8,285.60
  4. Step 4: Simplify right side
    14,254.31x = 162,995,571.25
  5. Step 5: Solve for x
    x = 162,995,571.25/14,254.31
  6. Step 6: Final answer
    x = 11,434.83

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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.