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Finding the Fourth Proportional to 16,172.34, 24,213.51 and 8,257.77

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Solution

The fourth proportional to 16,172.34, 24,213.51 and 8,257.77 is: 12,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.34 : 24,213.51 = 8,257.77 : x
  2. Step 2: Convert to fraction form
    16,172.34/24,213.51 = 8,257.77/x
  3. Step 3: Cross multiply
    16,172.34x = 24,213.51 × 8,257.77
  4. Step 4: Simplify right side
    16,172.34x = 199,949,596.47
  5. Step 5: Solve for x
    x = 199,949,596.47/16,172.34
  6. Step 6: Final answer
    x = 12,363.68

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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.