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Finding the Fourth Proportional to 14,420.50, 21,620.22 and 9,728.85

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Solution

The fourth proportional to 14,420.50, 21,620.22 and 9,728.85 is: 14,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.50 : 21,620.22 = 9,728.85 : x
  2. Step 2: Convert to fraction form
    14,420.50/21,620.22 = 9,728.85/x
  3. Step 3: Cross multiply
    14,420.50x = 21,620.22 × 9,728.85
  4. Step 4: Simplify right side
    14,420.50x = 210,339,877.35
  5. Step 5: Solve for x
    x = 210,339,877.35/14,420.50
  6. Step 6: Final answer
    x = 14,586.17

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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.