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Finding the Fourth Proportional to 21,564.89, 29,759.56 and 12,133.46

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Solution

The fourth proportional to 21,564.89, 29,759.56 and 12,133.46 is: 16,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.89 : 29,759.56 = 12,133.46 : x
  2. Step 2: Convert to fraction form
    21,564.89/29,759.56 = 12,133.46/x
  3. Step 3: Cross multiply
    21,564.89x = 29,759.56 × 12,133.46
  4. Step 4: Simplify right side
    21,564.89x = 361,086,251.75
  5. Step 5: Solve for x
    x = 361,086,251.75/21,564.89
  6. Step 6: Final answer
    x = 16,744.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.