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Finding the Fourth Proportional to 13,532.84, 20,296.54 and 3,672.82

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Solution

The fourth proportional to 13,532.84, 20,296.54 and 3,672.82 is: 5,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.84 : 20,296.54 = 3,672.82 : x
  2. Step 2: Convert to fraction form
    13,532.84/20,296.54 = 3,672.82/x
  3. Step 3: Cross multiply
    13,532.84x = 20,296.54 × 3,672.82
  4. Step 4: Simplify right side
    13,532.84x = 74,545,538.04
  5. Step 5: Solve for x
    x = 74,545,538.04/13,532.84
  6. Step 6: Final answer
    x = 5,508.49

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Why These Related Problems?

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