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Finding the Fourth Proportional to 21,638.50, 32,457.96 and 8,492.20

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Solution

The fourth proportional to 21,638.50, 32,457.96 and 8,492.20 is: 12,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.50 : 32,457.96 = 8,492.20 : x
  2. Step 2: Convert to fraction form
    21,638.50/32,457.96 = 8,492.20/x
  3. Step 3: Cross multiply
    21,638.50x = 32,457.96 × 8,492.20
  4. Step 4: Simplify right side
    21,638.50x = 275,639,487.91
  5. Step 5: Solve for x
    x = 275,639,487.91/21,638.50
  6. Step 6: Final answer
    x = 12,738.38

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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.