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Finding the Fourth Proportional to 14,404.80, 21,561.21 and 7,732.02

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Solution

The fourth proportional to 14,404.80, 21,561.21 and 7,732.02 is: 11,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.80 : 21,561.21 = 7,732.02 : x
  2. Step 2: Convert to fraction form
    14,404.80/21,561.21 = 7,732.02/x
  3. Step 3: Cross multiply
    14,404.80x = 21,561.21 × 7,732.02
  4. Step 4: Simplify right side
    14,404.80x = 166,711,706.94
  5. Step 5: Solve for x
    x = 166,711,706.94/14,404.80
  6. Step 6: Final answer
    x = 11,573.34

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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.