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Finding the Fourth Proportional to 21,706.92, 29,941.38 and 13,740.84

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Solution

The fourth proportional to 21,706.92, 29,941.38 and 13,740.84 is: 18,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.92 : 29,941.38 = 13,740.84 : x
  2. Step 2: Convert to fraction form
    21,706.92/29,941.38 = 13,740.84/x
  3. Step 3: Cross multiply
    21,706.92x = 29,941.38 × 13,740.84
  4. Step 4: Simplify right side
    21,706.92x = 411,419,711.96
  5. Step 5: Solve for x
    x = 411,419,711.96/21,706.92
  6. Step 6: Final answer
    x = 18,953.39

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Why These Related Problems?

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