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Finding the Fourth Proportional to 13,706.67, 18,915.30 and 7,419.06

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Solution

The fourth proportional to 13,706.67, 18,915.30 and 7,419.06 is: 10,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.67 : 18,915.30 = 7,419.06 : x
  2. Step 2: Convert to fraction form
    13,706.67/18,915.30 = 7,419.06/x
  3. Step 3: Cross multiply
    13,706.67x = 18,915.30 × 7,419.06
  4. Step 4: Simplify right side
    13,706.67x = 140,333,745.62
  5. Step 5: Solve for x
    x = 140,333,745.62/13,706.67
  6. Step 6: Final answer
    x = 10,238.35

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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.