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Finding the Fourth Proportional to 12,914.13, 17,821.50 and 7,325.13

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Solution

The fourth proportional to 12,914.13, 17,821.50 and 7,325.13 is: 10,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.13 : 17,821.50 = 7,325.13 : x
  2. Step 2: Convert to fraction form
    12,914.13/17,821.50 = 7,325.13/x
  3. Step 3: Cross multiply
    12,914.13x = 17,821.50 × 7,325.13
  4. Step 4: Simplify right side
    12,914.13x = 130,544,804.30
  5. Step 5: Solve for x
    x = 130,544,804.30/12,914.13
  6. Step 6: Final answer
    x = 10,108.68

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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.