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Finding the Fourth Proportional to 21,251.68, 31,877.26 and 9,556.64

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Solution

The fourth proportional to 21,251.68, 31,877.26 and 9,556.64 is: 14,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.68 : 31,877.26 = 9,556.64 : x
  2. Step 2: Convert to fraction form
    21,251.68/31,877.26 = 9,556.64/x
  3. Step 3: Cross multiply
    21,251.68x = 31,877.26 × 9,556.64
  4. Step 4: Simplify right side
    21,251.68x = 304,639,498.01
  5. Step 5: Solve for x
    x = 304,639,498.01/21,251.68
  6. Step 6: Final answer
    x = 14,334.84

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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.