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Finding the Fourth Proportional to 15,892.26, 21,926.25 and 9,177

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Solution

The fourth proportional to 15,892.26, 21,926.25 and 9,177 is: 12,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.26 : 21,926.25 = 9,177 : x
  2. Step 2: Convert to fraction form
    15,892.26/21,926.25 = 9,177/x
  3. Step 3: Cross multiply
    15,892.26x = 21,926.25 × 9,177
  4. Step 4: Simplify right side
    15,892.26x = 201,217,196.25
  5. Step 5: Solve for x
    x = 201,217,196.25/15,892.26
  6. Step 6: Final answer
    x = 12,661.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.