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Finding the Fourth Proportional to 20,599.50, 30,899.25 and 8,287.50

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Solution

The fourth proportional to 20,599.50, 30,899.25 and 8,287.50 is: 12,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,599.50 : 30,899.25 = 8,287.50 : x
  2. Step 2: Convert to fraction form
    20,599.50/30,899.25 = 8,287.50/x
  3. Step 3: Cross multiply
    20,599.50x = 30,899.25 × 8,287.50
  4. Step 4: Simplify right side
    20,599.50x = 256,077,534.38
  5. Step 5: Solve for x
    x = 256,077,534.38/20,599.50
  6. Step 6: Final answer
    x = 12,431.25

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1.5x scale

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.