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Finding the Fourth Proportional to 13,706.69, 18,915.20 and 7,419.07

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Solution

The fourth proportional to 13,706.69, 18,915.20 and 7,419.07 is: 10,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.69 : 18,915.20 = 7,419.07 : x
  2. Step 2: Convert to fraction form
    13,706.69/18,915.20 = 7,419.07/x
  3. Step 3: Cross multiply
    13,706.69x = 18,915.20 × 7,419.07
  4. Step 4: Simplify right side
    13,706.69x = 140,333,192.86
  5. Step 5: Solve for x
    x = 140,333,192.86/13,706.69
  6. Step 6: Final answer
    x = 10,238.30

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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.