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Finding the Fourth Proportional to 12,914.56, 17,821.38 and 7,325.56

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Solution

The fourth proportional to 12,914.56, 17,821.38 and 7,325.56 is: 10,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.56 : 17,821.38 = 7,325.56 : x
  2. Step 2: Convert to fraction form
    12,914.56/17,821.38 = 7,325.56/x
  3. Step 3: Cross multiply
    12,914.56x = 17,821.38 × 7,325.56
  4. Step 4: Simplify right side
    12,914.56x = 130,551,588.47
  5. Step 5: Solve for x
    x = 130,551,588.47/12,914.56
  6. Step 6: Final answer
    x = 10,108.87

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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.