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Finding the Fourth Proportional to 13,031.13, 17,976.33 and 8,243.00

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Solution

The fourth proportional to 13,031.13, 17,976.33 and 8,243.00 is: 11,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.13 : 17,976.33 = 8,243.00 : x
  2. Step 2: Convert to fraction form
    13,031.13/17,976.33 = 8,243.00/x
  3. Step 3: Cross multiply
    13,031.13x = 17,976.33 × 8,243.00
  4. Step 4: Simplify right side
    13,031.13x = 148,178,798.31
  5. Step 5: Solve for x
    x = 148,178,798.31/13,031.13
  6. Step 6: Final answer
    x = 11,371.14

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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.