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Finding the Fourth Proportional to 14,305.17, 21,452.49 and 4,942.79

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Solution

The fourth proportional to 14,305.17, 21,452.49 and 4,942.79 is: 7,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.17 : 21,452.49 = 4,942.79 : x
  2. Step 2: Convert to fraction form
    14,305.17/21,452.49 = 4,942.79/x
  3. Step 3: Cross multiply
    14,305.17x = 21,452.49 × 4,942.79
  4. Step 4: Simplify right side
    14,305.17x = 106,035,144.77
  5. Step 5: Solve for x
    x = 106,035,144.77/14,305.17
  6. Step 6: Final answer
    x = 7,412.36

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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.