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Finding the Fourth Proportional to 17,381.75, 24,006.51 and 11,706.63

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Solution

The fourth proportional to 17,381.75, 24,006.51 and 11,706.63 is: 16,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.75 : 24,006.51 = 11,706.63 : x
  2. Step 2: Convert to fraction form
    17,381.75/24,006.51 = 11,706.63/x
  3. Step 3: Cross multiply
    17,381.75x = 24,006.51 × 11,706.63
  4. Step 4: Simplify right side
    17,381.75x = 281,035,330.16
  5. Step 5: Solve for x
    x = 281,035,330.16/17,381.75
  6. Step 6: Final answer
    x = 16,168.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.