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Finding the Fourth Proportional to 21,273.84, 31,863.24 and 15,417

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Solution

The fourth proportional to 21,273.84, 31,863.24 and 15,417 is: 23,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,273.84 : 31,863.24 = 15,417 : x
  2. Step 2: Convert to fraction form
    21,273.84/31,863.24 = 15,417/x
  3. Step 3: Cross multiply
    21,273.84x = 31,863.24 × 15,417
  4. Step 4: Simplify right side
    21,273.84x = 491,235,571.08
  5. Step 5: Solve for x
    x = 491,235,571.08/21,273.84
  6. Step 6: Final answer
    x = 23,091.06

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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.