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Finding the Fourth Proportional to 12,914.63, 17,822.19 and 7,325.63

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Solution

The fourth proportional to 12,914.63, 17,822.19 and 7,325.63 is: 10,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.63 : 17,822.19 = 7,325.63 : x
  2. Step 2: Convert to fraction form
    12,914.63/17,822.19 = 7,325.63/x
  3. Step 3: Cross multiply
    12,914.63x = 17,822.19 × 7,325.63
  4. Step 4: Simplify right side
    12,914.63x = 130,558,680.62
  5. Step 5: Solve for x
    x = 130,558,680.62/12,914.63
  6. Step 6: Final answer
    x = 10,109.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.