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Finding the Fourth Proportional to 13,144.07, 19,716 and 3,283.28

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Solution

The fourth proportional to 13,144.07, 19,716 and 3,283.28 is: 4,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.07 : 19,716 = 3,283.28 : x
  2. Step 2: Convert to fraction form
    13,144.07/19,716 = 3,283.28/x
  3. Step 3: Cross multiply
    13,144.07x = 19,716 × 3,283.28
  4. Step 4: Simplify right side
    13,144.07x = 64,733,148.48
  5. Step 5: Solve for x
    x = 64,733,148.48/13,144.07
  6. Step 6: Final answer
    x = 4,924.89

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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.