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Finding the Fourth Proportional to 13,706.62, 18,915.15 and 7,418.98

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Solution

The fourth proportional to 13,706.62, 18,915.15 and 7,418.98 is: 10,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.62 : 18,915.15 = 7,418.98 : x
  2. Step 2: Convert to fraction form
    13,706.62/18,915.15 = 7,418.98/x
  3. Step 3: Cross multiply
    13,706.62x = 18,915.15 × 7,418.98
  4. Step 4: Simplify right side
    13,706.62x = 140,331,119.55
  5. Step 5: Solve for x
    x = 140,331,119.55/13,706.62
  6. Step 6: Final answer
    x = 10,238.20

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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.