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Finding the Fourth Proportional to 14,236.25, 19,650.02 and 8,266.82

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Solution

The fourth proportional to 14,236.25, 19,650.02 and 8,266.82 is: 11,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.25 : 19,650.02 = 8,266.82 : x
  2. Step 2: Convert to fraction form
    14,236.25/19,650.02 = 8,266.82/x
  3. Step 3: Cross multiply
    14,236.25x = 19,650.02 × 8,266.82
  4. Step 4: Simplify right side
    14,236.25x = 162,443,038.75
  5. Step 5: Solve for x
    x = 162,443,038.75/14,236.25
  6. Step 6: Final answer
    x = 11,410.53

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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.