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Finding the Fourth Proportional to 16,135.23, 24,184.71 and 8,215.52

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Solution

The fourth proportional to 16,135.23, 24,184.71 and 8,215.52 is: 12,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.23 : 24,184.71 = 8,215.52 : x
  2. Step 2: Convert to fraction form
    16,135.23/24,184.71 = 8,215.52/x
  3. Step 3: Cross multiply
    16,135.23x = 24,184.71 × 8,215.52
  4. Step 4: Simplify right side
    16,135.23x = 198,689,806.70
  5. Step 5: Solve for x
    x = 198,689,806.70/16,135.23
  6. Step 6: Final answer
    x = 12,314.04

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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.