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Finding the Fourth Proportional to 13,035.84, 17,989.40 and 7,067.49

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Solution

The fourth proportional to 13,035.84, 17,989.40 and 7,067.49 is: 9,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.84 : 17,989.40 = 7,067.49 : x
  2. Step 2: Convert to fraction form
    13,035.84/17,989.40 = 7,067.49/x
  3. Step 3: Cross multiply
    13,035.84x = 17,989.40 × 7,067.49
  4. Step 4: Simplify right side
    13,035.84x = 127,139,922.27
  5. Step 5: Solve for x
    x = 127,139,922.27/13,035.84
  6. Step 6: Final answer
    x = 9,753.11

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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.