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Finding the Fourth Proportional to 13,982.79, 19,297.17 and 7,695.57

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Solution

The fourth proportional to 13,982.79, 19,297.17 and 7,695.57 is: 10,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.79 : 19,297.17 = 7,695.57 : x
  2. Step 2: Convert to fraction form
    13,982.79/19,297.17 = 7,695.57/x
  3. Step 3: Cross multiply
    13,982.79x = 19,297.17 × 7,695.57
  4. Step 4: Simplify right side
    13,982.79x = 148,502,722.54
  5. Step 5: Solve for x
    x = 148,502,722.54/13,982.79
  6. Step 6: Final answer
    x = 10,620.39

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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.