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Finding the Fourth Proportional to 17,633.78, 26,462.19 and 8,400.50

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Solution

The fourth proportional to 17,633.78, 26,462.19 and 8,400.50 is: 12,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.78 : 26,462.19 = 8,400.50 : x
  2. Step 2: Convert to fraction form
    17,633.78/26,462.19 = 8,400.50/x
  3. Step 3: Cross multiply
    17,633.78x = 26,462.19 × 8,400.50
  4. Step 4: Simplify right side
    17,633.78x = 222,295,627.10
  5. Step 5: Solve for x
    x = 222,295,627.10/17,633.78
  6. Step 6: Final answer
    x = 12,606.24

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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.