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Finding the Fourth Proportional to 21,333.90, 31,997.16 and 9,644.40

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Solution

The fourth proportional to 21,333.90, 31,997.16 and 9,644.40 is: 14,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.90 : 31,997.16 = 9,644.40 : x
  2. Step 2: Convert to fraction form
    21,333.90/31,997.16 = 9,644.40/x
  3. Step 3: Cross multiply
    21,333.90x = 31,997.16 × 9,644.40
  4. Step 4: Simplify right side
    21,333.90x = 308,593,409.90
  5. Step 5: Solve for x
    x = 308,593,409.90/21,333.90
  6. Step 6: Final answer
    x = 14,464.93

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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.