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Finding the Fourth Proportional to 19,205.82, 28,796.34 and 12,612

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Solution

The fourth proportional to 19,205.82, 28,796.34 and 12,612 is: 18,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.82 : 28,796.34 = 12,612 : x
  2. Step 2: Convert to fraction form
    19,205.82/28,796.34 = 12,612/x
  3. Step 3: Cross multiply
    19,205.82x = 28,796.34 × 12,612
  4. Step 4: Simplify right side
    19,205.82x = 363,179,440.08
  5. Step 5: Solve for x
    x = 363,179,440.08/19,205.82
  6. Step 6: Final answer
    x = 18,909.86

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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.