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Finding the Fourth Proportional to 21,422.84, 29,564.10 and 11,991.32

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Solution

The fourth proportional to 21,422.84, 29,564.10 and 11,991.32 is: 16,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.84 : 29,564.10 = 11,991.32 : x
  2. Step 2: Convert to fraction form
    21,422.84/29,564.10 = 11,991.32/x
  3. Step 3: Cross multiply
    21,422.84x = 29,564.10 × 11,991.32
  4. Step 4: Simplify right side
    21,422.84x = 354,512,583.61
  5. Step 5: Solve for x
    x = 354,512,583.61/21,422.84
  6. Step 6: Final answer
    x = 16,548.35

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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.