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Finding the Fourth Proportional to 13,566, 20,352.42 and 4,332

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Solution

The fourth proportional to 13,566, 20,352.42 and 4,332 is: 6,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566 : 20,352.42 = 4,332 : x
  2. Step 2: Convert to fraction form
    13,566/20,352.42 = 4,332/x
  3. Step 3: Cross multiply
    13,566x = 20,352.42 × 4,332
  4. Step 4: Simplify right side
    13,566x = 88,166,683.44
  5. Step 5: Solve for x
    x = 88,166,683.44/13,566
  6. Step 6: Final answer
    x = 6,499.09

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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.