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Finding the Fourth Proportional to 13,029.35, 19,532.18 and 6,782.03

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Solution

The fourth proportional to 13,029.35, 19,532.18 and 6,782.03 is: 10,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.35 : 19,532.18 = 6,782.03 : x
  2. Step 2: Convert to fraction form
    13,029.35/19,532.18 = 6,782.03/x
  3. Step 3: Cross multiply
    13,029.35x = 19,532.18 × 6,782.03
  4. Step 4: Simplify right side
    13,029.35x = 132,467,733.06
  5. Step 5: Solve for x
    x = 132,467,733.06/13,029.35
  6. Step 6: Final answer
    x = 10,166.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.