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Finding the Fourth Proportional to 13,706.56, 18,915.04 and 7,418.92

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Solution

The fourth proportional to 13,706.56, 18,915.04 and 7,418.92 is: 10,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.56 : 18,915.04 = 7,418.92 : x
  2. Step 2: Convert to fraction form
    13,706.56/18,915.04 = 7,418.92/x
  3. Step 3: Cross multiply
    13,706.56x = 18,915.04 × 7,418.92
  4. Step 4: Simplify right side
    13,706.56x = 140,329,168.56
  5. Step 5: Solve for x
    x = 140,329,168.56/13,706.56
  6. Step 6: Final answer
    x = 10,238.10

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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.