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Finding the Fourth Proportional to 15,302.97, 22,906.75 and 11,783.84

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Solution

The fourth proportional to 15,302.97, 22,906.75 and 11,783.84 is: 17,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.97 : 22,906.75 = 11,783.84 : x
  2. Step 2: Convert to fraction form
    15,302.97/22,906.75 = 11,783.84/x
  3. Step 3: Cross multiply
    15,302.97x = 22,906.75 × 11,783.84
  4. Step 4: Simplify right side
    15,302.97x = 269,929,377.12
  5. Step 5: Solve for x
    x = 269,929,377.12/15,302.97
  6. Step 6: Final answer
    x = 17,639.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.