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Finding the Fourth Proportional to 23,693.25, 32,695.11 and 13,082.79

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Solution

The fourth proportional to 23,693.25, 32,695.11 and 13,082.79 is: 18,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.25 : 32,695.11 = 13,082.79 : x
  2. Step 2: Convert to fraction form
    23,693.25/32,695.11 = 13,082.79/x
  3. Step 3: Cross multiply
    23,693.25x = 32,695.11 × 13,082.79
  4. Step 4: Simplify right side
    23,693.25x = 427,743,258.16
  5. Step 5: Solve for x
    x = 427,743,258.16/23,693.25
  6. Step 6: Final answer
    x = 18,053.38

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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.