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Finding the Fourth Proportional to 12,529.34, 18,793.36 and 4,209.42

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Solution

The fourth proportional to 12,529.34, 18,793.36 and 4,209.42 is: 6,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.34 : 18,793.36 = 4,209.42 : x
  2. Step 2: Convert to fraction form
    12,529.34/18,793.36 = 4,209.42/x
  3. Step 3: Cross multiply
    12,529.34x = 18,793.36 × 4,209.42
  4. Step 4: Simplify right side
    12,529.34x = 79,109,145.45
  5. Step 5: Solve for x
    x = 79,109,145.45/12,529.34
  6. Step 6: Final answer
    x = 6,313.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.