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Finding the Fourth Proportional to 14,529.54, 20,049.87 and 8,157

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Solution

The fourth proportional to 14,529.54, 20,049.87 and 8,157 is: 11,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.54 : 20,049.87 = 8,157 : x
  2. Step 2: Convert to fraction form
    14,529.54/20,049.87 = 8,157/x
  3. Step 3: Cross multiply
    14,529.54x = 20,049.87 × 8,157
  4. Step 4: Simplify right side
    14,529.54x = 163,546,789.59
  5. Step 5: Solve for x
    x = 163,546,789.59/14,529.54
  6. Step 6: Final answer
    x = 11,256.16

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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.