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Finding the Fourth Proportional to 23,782.30, 32,820.12 and 13,028.20

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Solution

The fourth proportional to 23,782.30, 32,820.12 and 13,028.20 is: 17,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.30 : 32,820.12 = 13,028.20 : x
  2. Step 2: Convert to fraction form
    23,782.30/32,820.12 = 13,028.20/x
  3. Step 3: Cross multiply
    23,782.30x = 32,820.12 × 13,028.20
  4. Step 4: Simplify right side
    23,782.30x = 427,587,087.38
  5. Step 5: Solve for x
    x = 427,587,087.38/23,782.30
  6. Step 6: Final answer
    x = 17,979.22

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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.