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Finding the Fourth Proportional to 23,673.62, 32,669.10 and 13,063.16

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Solution

The fourth proportional to 23,673.62, 32,669.10 and 13,063.16 is: 18,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.62 : 32,669.10 = 13,063.16 : x
  2. Step 2: Convert to fraction form
    23,673.62/32,669.10 = 13,063.16/x
  3. Step 3: Cross multiply
    23,673.62x = 32,669.10 × 13,063.16
  4. Step 4: Simplify right side
    23,673.62x = 426,761,517.01
  5. Step 5: Solve for x
    x = 426,761,517.01/23,673.62
  6. Step 6: Final answer
    x = 18,026.88

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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.