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Finding the Fourth Proportional to 23,287.50, 32,136.75 and 12,676.50

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Solution

The fourth proportional to 23,287.50, 32,136.75 and 12,676.50 is: 17,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.50 : 32,136.75 = 12,676.50 : x
  2. Step 2: Convert to fraction form
    23,287.50/32,136.75 = 12,676.50/x
  3. Step 3: Cross multiply
    23,287.50x = 32,136.75 × 12,676.50
  4. Step 4: Simplify right side
    23,287.50x = 407,381,511.38
  5. Step 5: Solve for x
    x = 407,381,511.38/23,287.50
  6. Step 6: Final answer
    x = 17,493.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.