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Finding the Fourth Proportional to 14,488.56, 21,722.16 and 4,622.16

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Solution

The fourth proportional to 14,488.56, 21,722.16 and 4,622.16 is: 6,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.56 : 21,722.16 = 4,622.16 : x
  2. Step 2: Convert to fraction form
    14,488.56/21,722.16 = 4,622.16/x
  3. Step 3: Cross multiply
    14,488.56x = 21,722.16 × 4,622.16
  4. Step 4: Simplify right side
    14,488.56x = 100,403,299.07
  5. Step 5: Solve for x
    x = 100,403,299.07/14,488.56
  6. Step 6: Final answer
    x = 6,929.83

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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.