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Finding the Fourth Proportional to 14,625, 21,937.76 and 4,764.24

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Solution

The fourth proportional to 14,625, 21,937.76 and 4,764.24 is: 7,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625 : 21,937.76 = 4,764.24 : x
  2. Step 2: Convert to fraction form
    14,625/21,937.76 = 4,764.24/x
  3. Step 3: Cross multiply
    14,625x = 21,937.76 × 4,764.24
  4. Step 4: Simplify right side
    14,625x = 104,516,753.70
  5. Step 5: Solve for x
    x = 104,516,753.70/14,625
  6. Step 6: Final answer
    x = 7,146.44

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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.