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Finding the Fourth Proportional to 12,744.84, 19,117.26 and 3,980.43

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Solution

The fourth proportional to 12,744.84, 19,117.26 and 3,980.43 is: 5,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.84 : 19,117.26 = 3,980.43 : x
  2. Step 2: Convert to fraction form
    12,744.84/19,117.26 = 3,980.43/x
  3. Step 3: Cross multiply
    12,744.84x = 19,117.26 × 3,980.43
  4. Step 4: Simplify right side
    12,744.84x = 76,094,915.22
  5. Step 5: Solve for x
    x = 76,094,915.22/12,744.84
  6. Step 6: Final answer
    x = 5,970.65

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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.