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Finding the Fourth Proportional to 13,013.82, 17,959.02 and 7,045.44

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Solution

The fourth proportional to 13,013.82, 17,959.02 and 7,045.44 is: 9,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.82 : 17,959.02 = 7,045.44 : x
  2. Step 2: Convert to fraction form
    13,013.82/17,959.02 = 7,045.44/x
  3. Step 3: Cross multiply
    13,013.82x = 17,959.02 × 7,045.44
  4. Step 4: Simplify right side
    13,013.82x = 126,529,197.87
  5. Step 5: Solve for x
    x = 126,529,197.87/13,013.82
  6. Step 6: Final answer
    x = 9,722.68

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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.