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Finding the Fourth Proportional to 13,031.82, 17,983.94 and 7,063.48

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Solution

The fourth proportional to 13,031.82, 17,983.94 and 7,063.48 is: 9,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.82 : 17,983.94 = 7,063.48 : x
  2. Step 2: Convert to fraction form
    13,031.82/17,983.94 = 7,063.48/x
  3. Step 3: Cross multiply
    13,031.82x = 17,983.94 × 7,063.48
  4. Step 4: Simplify right side
    13,031.82x = 127,029,200.51
  5. Step 5: Solve for x
    x = 127,029,200.51/13,031.82
  6. Step 6: Final answer
    x = 9,747.62

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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.