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Finding the Fourth Proportional to 23,645.92, 32,633.04 and 13,576

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Solution

The fourth proportional to 23,645.92, 32,633.04 and 13,576 is: 18,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.92 : 32,633.04 = 13,576 : x
  2. Step 2: Convert to fraction form
    23,645.92/32,633.04 = 13,576/x
  3. Step 3: Cross multiply
    23,645.92x = 32,633.04 × 13,576
  4. Step 4: Simplify right side
    23,645.92x = 443,026,151.04
  5. Step 5: Solve for x
    x = 443,026,151.04/23,645.92
  6. Step 6: Final answer
    x = 18,735.84

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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.