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Finding the Fourth Proportional to 13,035.33, 17,985.65 and 7,729.22

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Solution

The fourth proportional to 13,035.33, 17,985.65 and 7,729.22 is: 10,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.33 : 17,985.65 = 7,729.22 : x
  2. Step 2: Convert to fraction form
    13,035.33/17,985.65 = 7,729.22/x
  3. Step 3: Cross multiply
    13,035.33x = 17,985.65 × 7,729.22
  4. Step 4: Simplify right side
    13,035.33x = 139,015,052.01
  5. Step 5: Solve for x
    x = 139,015,052.01/13,035.33
  6. Step 6: Final answer
    x = 10,664.48

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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.