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Finding the Fourth Proportional to 13,522, 20,282.91 and 3,662.29

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Solution

The fourth proportional to 13,522, 20,282.91 and 3,662.29 is: 5,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522 : 20,282.91 = 3,662.29 : x
  2. Step 2: Convert to fraction form
    13,522/20,282.91 = 3,662.29/x
  3. Step 3: Cross multiply
    13,522x = 20,282.91 × 3,662.29
  4. Step 4: Simplify right side
    13,522x = 74,281,898.46
  5. Step 5: Solve for x
    x = 74,281,898.46/13,522
  6. Step 6: Final answer
    x = 5,493.41

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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.