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Finding the Fourth Proportional to 16,309.49, 24,389.51 and 12,152.43

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Solution

The fourth proportional to 16,309.49, 24,389.51 and 12,152.43 is: 18,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.49 : 24,389.51 = 12,152.43 : x
  2. Step 2: Convert to fraction form
    16,309.49/24,389.51 = 12,152.43/x
  3. Step 3: Cross multiply
    16,309.49x = 24,389.51 × 12,152.43
  4. Step 4: Simplify right side
    16,309.49x = 296,391,752.25
  5. Step 5: Solve for x
    x = 296,391,752.25/16,309.49
  6. Step 6: Final answer
    x = 18,172.97

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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.