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Finding the Fourth Proportional to 14,519.66, 21,761.70 and 10,337

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Solution

The fourth proportional to 14,519.66, 21,761.70 and 10,337 is: 15,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.66 : 21,761.70 = 10,337 : x
  2. Step 2: Convert to fraction form
    14,519.66/21,761.70 = 10,337/x
  3. Step 3: Cross multiply
    14,519.66x = 21,761.70 × 10,337
  4. Step 4: Simplify right side
    14,519.66x = 224,950,692.90
  5. Step 5: Solve for x
    x = 224,950,692.90/14,519.66
  6. Step 6: Final answer
    x = 15,492.83

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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.