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Finding the Fourth Proportional to 13,034.44, 17,984.26 and 7,729

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Solution

The fourth proportional to 13,034.44, 17,984.26 and 7,729 is: 10,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.44 : 17,984.26 = 7,729 : x
  2. Step 2: Convert to fraction form
    13,034.44/17,984.26 = 7,729/x
  3. Step 3: Cross multiply
    13,034.44x = 17,984.26 × 7,729
  4. Step 4: Simplify right side
    13,034.44x = 139,000,345.54
  5. Step 5: Solve for x
    x = 139,000,345.54/13,034.44
  6. Step 6: Final answer
    x = 10,664.08

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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.