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Finding the Fourth Proportional to 13,060.24, 18,022.78 and 7,091.72

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Solution

The fourth proportional to 13,060.24, 18,022.78 and 7,091.72 is: 9,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.24 : 18,022.78 = 7,091.72 : x
  2. Step 2: Convert to fraction form
    13,060.24/18,022.78 = 7,091.72/x
  3. Step 3: Cross multiply
    13,060.24x = 18,022.78 × 7,091.72
  4. Step 4: Simplify right side
    13,060.24x = 127,812,509.38
  5. Step 5: Solve for x
    x = 127,812,509.38/13,060.24
  6. Step 6: Final answer
    x = 9,786.38

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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.