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Finding the Fourth Proportional to 12,443.67, 17,189.06 and 9,943.32

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Solution

The fourth proportional to 12,443.67, 17,189.06 and 9,943.32 is: 13,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.67 : 17,189.06 = 9,943.32 : x
  2. Step 2: Convert to fraction form
    12,443.67/17,189.06 = 9,943.32/x
  3. Step 3: Cross multiply
    12,443.67x = 17,189.06 × 9,943.32
  4. Step 4: Simplify right side
    12,443.67x = 170,916,348.94
  5. Step 5: Solve for x
    x = 170,916,348.94/12,443.67
  6. Step 6: Final answer
    x = 13,735.20

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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.