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Finding the Fourth Proportional to 12,645.30, 18,963.87 and 4,209.56

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Solution

The fourth proportional to 12,645.30, 18,963.87 and 4,209.56 is: 6,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.30 : 18,963.87 = 4,209.56 : x
  2. Step 2: Convert to fraction form
    12,645.30/18,963.87 = 4,209.56/x
  3. Step 3: Cross multiply
    12,645.30x = 18,963.87 × 4,209.56
  4. Step 4: Simplify right side
    12,645.30x = 79,829,548.60
  5. Step 5: Solve for x
    x = 79,829,548.60/12,645.30
  6. Step 6: Final answer
    x = 6,312.98

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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.