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Finding the Fourth Proportional to 14,522.65, 21,764.82 and 5,752.78

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Solution

The fourth proportional to 14,522.65, 21,764.82 and 5,752.78 is: 8,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.65 : 21,764.82 = 5,752.78 : x
  2. Step 2: Convert to fraction form
    14,522.65/21,764.82 = 5,752.78/x
  3. Step 3: Cross multiply
    14,522.65x = 21,764.82 × 5,752.78
  4. Step 4: Simplify right side
    14,522.65x = 125,208,221.20
  5. Step 5: Solve for x
    x = 125,208,221.20/14,522.65
  6. Step 6: Final answer
    x = 8,621.58

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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.