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Finding the Fourth Proportional to 13,186.80, 19,783.20 and 3,952.56

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Solution

The fourth proportional to 13,186.80, 19,783.20 and 3,952.56 is: 5,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.80 : 19,783.20 = 3,952.56 : x
  2. Step 2: Convert to fraction form
    13,186.80/19,783.20 = 3,952.56/x
  3. Step 3: Cross multiply
    13,186.80x = 19,783.20 × 3,952.56
  4. Step 4: Simplify right side
    13,186.80x = 78,194,284.99
  5. Step 5: Solve for x
    x = 78,194,284.99/13,186.80
  6. Step 6: Final answer
    x = 5,929.74

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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.