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Finding the Fourth Proportional to 14,997.50, 22,461.21 and 11,856.41

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Solution

The fourth proportional to 14,997.50, 22,461.21 and 11,856.41 is: 17,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.50 : 22,461.21 = 11,856.41 : x
  2. Step 2: Convert to fraction form
    14,997.50/22,461.21 = 11,856.41/x
  3. Step 3: Cross multiply
    14,997.50x = 22,461.21 × 11,856.41
  4. Step 4: Simplify right side
    14,997.50x = 266,309,202.55
  5. Step 5: Solve for x
    x = 266,309,202.55/14,997.50
  6. Step 6: Final answer
    x = 17,756.91

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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.