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Finding the Fourth Proportional to 13,031.63, 17,983.67 and 7,063.31

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Solution

The fourth proportional to 13,031.63, 17,983.67 and 7,063.31 is: 9,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.63 : 17,983.67 = 7,063.31 : x
  2. Step 2: Convert to fraction form
    13,031.63/17,983.67 = 7,063.31/x
  3. Step 3: Cross multiply
    13,031.63x = 17,983.67 × 7,063.31
  4. Step 4: Simplify right side
    13,031.63x = 127,024,110.91
  5. Step 5: Solve for x
    x = 127,024,110.91/13,031.63
  6. Step 6: Final answer
    x = 9,747.37

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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.