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Finding the Fourth Proportional to 14,644.50, 21,988.62 and 14,425.80

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Solution

The fourth proportional to 14,644.50, 21,988.62 and 14,425.80 is: 21,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.50 : 21,988.62 = 14,425.80 : x
  2. Step 2: Convert to fraction form
    14,644.50/21,988.62 = 14,425.80/x
  3. Step 3: Cross multiply
    14,644.50x = 21,988.62 × 14,425.80
  4. Step 4: Simplify right side
    14,644.50x = 317,203,434.40
  5. Step 5: Solve for x
    x = 317,203,434.40/14,644.50
  6. Step 6: Final answer
    x = 21,660.24

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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.