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Finding the Fourth Proportional to 14,457.96, 21,652.20 and 12,366

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Solution

The fourth proportional to 14,457.96, 21,652.20 and 12,366 is: 18,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.96 : 21,652.20 = 12,366 : x
  2. Step 2: Convert to fraction form
    14,457.96/21,652.20 = 12,366/x
  3. Step 3: Cross multiply
    14,457.96x = 21,652.20 × 12,366
  4. Step 4: Simplify right side
    14,457.96x = 267,751,105.20
  5. Step 5: Solve for x
    x = 267,751,105.20/14,457.96
  6. Step 6: Final answer
    x = 18,519.29

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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.