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Finding the Fourth Proportional to 21,673.98, 32,516.64 and 9,194.58

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Solution

The fourth proportional to 21,673.98, 32,516.64 and 9,194.58 is: 13,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.98 : 32,516.64 = 9,194.58 : x
  2. Step 2: Convert to fraction form
    21,673.98/32,516.64 = 9,194.58/x
  3. Step 3: Cross multiply
    21,673.98x = 32,516.64 × 9,194.58
  4. Step 4: Simplify right side
    21,673.98x = 298,976,847.81
  5. Step 5: Solve for x
    x = 298,976,847.81/21,673.98
  6. Step 6: Final answer
    x = 13,794.28

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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.