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Finding the Fourth Proportional to 14,564.80, 21,814.80 and 11,972.80

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Solution

The fourth proportional to 14,564.80, 21,814.80 and 11,972.80 is: 17,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.80 : 21,814.80 = 11,972.80 : x
  2. Step 2: Convert to fraction form
    14,564.80/21,814.80 = 11,972.80/x
  3. Step 3: Cross multiply
    14,564.80x = 21,814.80 × 11,972.80
  4. Step 4: Simplify right side
    14,564.80x = 261,184,237.44
  5. Step 5: Solve for x
    x = 261,184,237.44/14,564.80
  6. Step 6: Final answer
    x = 17,932.57

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1.5x scale

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.