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Finding the Fourth Proportional to 16,172.41, 24,262.64 and 12,853.18

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Solution

The fourth proportional to 16,172.41, 24,262.64 and 12,853.18 is: 19,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.41 : 24,262.64 = 12,853.18 : x
  2. Step 2: Convert to fraction form
    16,172.41/24,262.64 = 12,853.18/x
  3. Step 3: Cross multiply
    16,172.41x = 24,262.64 × 12,853.18
  4. Step 4: Simplify right side
    16,172.41x = 311,852,093.46
  5. Step 5: Solve for x
    x = 311,852,093.46/16,172.41
  6. Step 6: Final answer
    x = 19,282.97

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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.