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Finding the Fourth Proportional to 13,015.65, 17,961.38 and 7,047.27

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Solution

The fourth proportional to 13,015.65, 17,961.38 and 7,047.27 is: 9,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.65 : 17,961.38 = 7,047.27 : x
  2. Step 2: Convert to fraction form
    13,015.65/17,961.38 = 7,047.27/x
  3. Step 3: Cross multiply
    13,015.65x = 17,961.38 × 7,047.27
  4. Step 4: Simplify right side
    13,015.65x = 126,578,659.20
  5. Step 5: Solve for x
    x = 126,578,659.20/13,015.65
  6. Step 6: Final answer
    x = 9,725.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.