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Finding the Fourth Proportional to 14,540.48, 21,814 and 5,306.48

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Solution

The fourth proportional to 14,540.48, 21,814 and 5,306.48 is: 7,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.48 : 21,814 = 5,306.48 : x
  2. Step 2: Convert to fraction form
    14,540.48/21,814 = 5,306.48/x
  3. Step 3: Cross multiply
    14,540.48x = 21,814 × 5,306.48
  4. Step 4: Simplify right side
    14,540.48x = 115,755,554.72
  5. Step 5: Solve for x
    x = 115,755,554.72/14,540.48
  6. Step 6: Final answer
    x = 7,960.92

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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.