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Finding the Fourth Proportional to 23,767.38, 32,802.45 and 13,693.89

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Solution

The fourth proportional to 23,767.38, 32,802.45 and 13,693.89 is: 18,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.38 : 32,802.45 = 13,693.89 : x
  2. Step 2: Convert to fraction form
    23,767.38/32,802.45 = 13,693.89/x
  3. Step 3: Cross multiply
    23,767.38x = 32,802.45 × 13,693.89
  4. Step 4: Simplify right side
    23,767.38x = 449,193,142.03
  5. Step 5: Solve for x
    x = 449,193,142.03/23,767.38
  6. Step 6: Final answer
    x = 18,899.56

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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.