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Finding the Fourth Proportional to 14,917.37, 20,586.50 and 8,203.50

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Solution

The fourth proportional to 14,917.37, 20,586.50 and 8,203.50 is: 11,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.37 : 20,586.50 = 8,203.50 : x
  2. Step 2: Convert to fraction form
    14,917.37/20,586.50 = 8,203.50/x
  3. Step 3: Cross multiply
    14,917.37x = 20,586.50 × 8,203.50
  4. Step 4: Simplify right side
    14,917.37x = 168,881,363.20
  5. Step 5: Solve for x
    x = 168,881,363.20/14,917.37
  6. Step 6: Final answer
    x = 11,321.12

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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.