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Finding the Fourth Proportional to 21,265, 31,904.22 and 9,579.24

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Solution

The fourth proportional to 21,265, 31,904.22 and 9,579.24 is: 14,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265 : 31,904.22 = 9,579.24 : x
  2. Step 2: Convert to fraction form
    21,265/31,904.22 = 9,579.24/x
  3. Step 3: Cross multiply
    21,265x = 31,904.22 × 9,579.24
  4. Step 4: Simplify right side
    21,265x = 305,618,180.39
  5. Step 5: Solve for x
    x = 305,618,180.39/21,265
  6. Step 6: Final answer
    x = 14,371.89

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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.