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Finding the Fourth Proportional to 13,016.70, 17,967.24 and 9,658.44

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Solution

The fourth proportional to 13,016.70, 17,967.24 and 9,658.44 is: 13,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.70 : 17,967.24 = 9,658.44 : x
  2. Step 2: Convert to fraction form
    13,016.70/17,967.24 = 9,658.44/x
  3. Step 3: Cross multiply
    13,016.70x = 17,967.24 × 9,658.44
  4. Step 4: Simplify right side
    13,016.70x = 173,535,509.51
  5. Step 5: Solve for x
    x = 173,535,509.51/13,016.70
  6. Step 6: Final answer
    x = 13,331.76

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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.