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Finding the Fourth Proportional to 14,566, 21,849.08 and 3,622

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Solution

The fourth proportional to 14,566, 21,849.08 and 3,622 is: 5,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566 : 21,849.08 = 3,622 : x
  2. Step 2: Convert to fraction form
    14,566/21,849.08 = 3,622/x
  3. Step 3: Cross multiply
    14,566x = 21,849.08 × 3,622
  4. Step 4: Simplify right side
    14,566x = 79,137,367.76
  5. Step 5: Solve for x
    x = 79,137,367.76/14,566
  6. Step 6: Final answer
    x = 5,433.02

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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.