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Finding the Fourth Proportional to 13,016.14, 17,962.26 and 7,047.82

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Solution

The fourth proportional to 13,016.14, 17,962.26 and 7,047.82 is: 9,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.14 : 17,962.26 = 7,047.82 : x
  2. Step 2: Convert to fraction form
    13,016.14/17,962.26 = 7,047.82/x
  3. Step 3: Cross multiply
    13,016.14x = 17,962.26 × 7,047.82
  4. Step 4: Simplify right side
    13,016.14x = 126,594,775.27
  5. Step 5: Solve for x
    x = 126,594,775.27/13,016.14
  6. Step 6: Final answer
    x = 9,725.98

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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.