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Finding the Fourth Proportional to 14,629.21, 20,188.50 and 8,256.16

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Solution

The fourth proportional to 14,629.21, 20,188.50 and 8,256.16 is: 11,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.21 : 20,188.50 = 8,256.16 : x
  2. Step 2: Convert to fraction form
    14,629.21/20,188.50 = 8,256.16/x
  3. Step 3: Cross multiply
    14,629.21x = 20,188.50 × 8,256.16
  4. Step 4: Simplify right side
    14,629.21x = 166,679,495.90
  5. Step 5: Solve for x
    x = 166,679,495.90/14,629.21
  6. Step 6: Final answer
    x = 11,393.61

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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.