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Finding the Fourth Proportional to 21,262.68, 31,893.75 and 9,567.63

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Solution

The fourth proportional to 21,262.68, 31,893.75 and 9,567.63 is: 14,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.68 : 31,893.75 = 9,567.63 : x
  2. Step 2: Convert to fraction form
    21,262.68/31,893.75 = 9,567.63/x
  3. Step 3: Cross multiply
    21,262.68x = 31,893.75 × 9,567.63
  4. Step 4: Simplify right side
    21,262.68x = 305,147,599.31
  5. Step 5: Solve for x
    x = 305,147,599.31/21,262.68
  6. Step 6: Final answer
    x = 14,351.32

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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.