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Finding the Fourth Proportional to 14,852.79, 20,496.56 and 8,138.39

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Solution

The fourth proportional to 14,852.79, 20,496.56 and 8,138.39 is: 11,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.79 : 20,496.56 = 8,138.39 : x
  2. Step 2: Convert to fraction form
    14,852.79/20,496.56 = 8,138.39/x
  3. Step 3: Cross multiply
    14,852.79x = 20,496.56 × 8,138.39
  4. Step 4: Simplify right side
    14,852.79x = 166,808,855.76
  5. Step 5: Solve for x
    x = 166,808,855.76/14,852.79
  6. Step 6: Final answer
    x = 11,230.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.