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Finding the Fourth Proportional to 14,622.09, 21,941.78 and 5,394.57

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Solution

The fourth proportional to 14,622.09, 21,941.78 and 5,394.57 is: 8,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622.09 : 21,941.78 = 5,394.57 : x
  2. Step 2: Convert to fraction form
    14,622.09/21,941.78 = 5,394.57/x
  3. Step 3: Cross multiply
    14,622.09x = 21,941.78 × 5,394.57
  4. Step 4: Simplify right side
    14,622.09x = 118,366,441.16
  5. Step 5: Solve for x
    x = 118,366,441.16/14,622.09
  6. Step 6: Final answer
    x = 8,095.04

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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.