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Finding the Fourth Proportional to 14,852.59, 20,496.56 and 8,138.64

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Solution

The fourth proportional to 14,852.59, 20,496.56 and 8,138.64 is: 11,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.59 : 20,496.56 = 8,138.64 : x
  2. Step 2: Convert to fraction form
    14,852.59/20,496.56 = 8,138.64/x
  3. Step 3: Cross multiply
    14,852.59x = 20,496.56 × 8,138.64
  4. Step 4: Simplify right side
    14,852.59x = 166,814,123.08
  5. Step 5: Solve for x
    x = 166,814,123.08/14,852.59
  6. Step 6: Final answer
    x = 11,231.32

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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.