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Finding the Fourth Proportional to 15,632, 23,453.76 and 8,236.16

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Solution

The fourth proportional to 15,632, 23,453.76 and 8,236.16 is: 12,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632 : 23,453.76 = 8,236.16 : x
  2. Step 2: Convert to fraction form
    15,632/23,453.76 = 8,236.16/x
  3. Step 3: Cross multiply
    15,632x = 23,453.76 × 8,236.16
  4. Step 4: Simplify right side
    15,632x = 193,168,919.96
  5. Step 5: Solve for x
    x = 193,168,919.96/15,632
  6. Step 6: Final answer
    x = 12,357.27

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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.