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Finding the Fourth Proportional to 13,675.75, 18,872.38 and 7,707.41

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Solution

The fourth proportional to 13,675.75, 18,872.38 and 7,707.41 is: 10,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.75 : 18,872.38 = 7,707.41 : x
  2. Step 2: Convert to fraction form
    13,675.75/18,872.38 = 7,707.41/x
  3. Step 3: Cross multiply
    13,675.75x = 18,872.38 × 7,707.41
  4. Step 4: Simplify right side
    13,675.75x = 145,457,170.34
  5. Step 5: Solve for x
    x = 145,457,170.34/13,675.75
  6. Step 6: Final answer
    x = 10,636.14

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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.