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Finding the Fourth Proportional to 13,786.52, 19,031.87 and 8,119.46

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Solution

The fourth proportional to 13,786.52, 19,031.87 and 8,119.46 is: 11,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.52 : 19,031.87 = 8,119.46 : x
  2. Step 2: Convert to fraction form
    13,786.52/19,031.87 = 8,119.46/x
  3. Step 3: Cross multiply
    13,786.52x = 19,031.87 × 8,119.46
  4. Step 4: Simplify right side
    13,786.52x = 154,528,575.07
  5. Step 5: Solve for x
    x = 154,528,575.07/13,786.52
  6. Step 6: Final answer
    x = 11,208.68

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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.