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Finding the Fourth Proportional to 13,031.11, 17,982.49 and 7,722.77

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Solution

The fourth proportional to 13,031.11, 17,982.49 and 7,722.77 is: 10,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.11 : 17,982.49 = 7,722.77 : x
  2. Step 2: Convert to fraction form
    13,031.11/17,982.49 = 7,722.77/x
  3. Step 3: Cross multiply
    13,031.11x = 17,982.49 × 7,722.77
  4. Step 4: Simplify right side
    13,031.11x = 138,874,595.68
  5. Step 5: Solve for x
    x = 138,874,595.68/13,031.11
  6. Step 6: Final answer
    x = 10,657.16

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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.