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Finding the Fourth Proportional to 23,805.84, 32,850.99 and 13,736.07

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Solution

The fourth proportional to 23,805.84, 32,850.99 and 13,736.07 is: 18,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.84 : 32,850.99 = 13,736.07 : x
  2. Step 2: Convert to fraction form
    23,805.84/32,850.99 = 13,736.07/x
  3. Step 3: Cross multiply
    23,805.84x = 32,850.99 × 13,736.07
  4. Step 4: Simplify right side
    23,805.84x = 451,243,498.21
  5. Step 5: Solve for x
    x = 451,243,498.21/23,805.84
  6. Step 6: Final answer
    x = 18,955.16

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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.