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Finding the Fourth Proportional to 16,520.95, 24,768.20 and 8,619.50

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Solution

The fourth proportional to 16,520.95, 24,768.20 and 8,619.50 is: 12,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.95 : 24,768.20 = 8,619.50 : x
  2. Step 2: Convert to fraction form
    16,520.95/24,768.20 = 8,619.50/x
  3. Step 3: Cross multiply
    16,520.95x = 24,768.20 × 8,619.50
  4. Step 4: Simplify right side
    16,520.95x = 213,489,376.06
  5. Step 5: Solve for x
    x = 213,489,376.06/16,520.95
  6. Step 6: Final answer
    x = 12,922.35

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Why These Related Problems?

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