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Finding the Fourth Proportional to 21,538.95, 29,722.80 and 11,978.79

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Solution

The fourth proportional to 21,538.95, 29,722.80 and 11,978.79 is: 16,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.95 : 29,722.80 = 11,978.79 : x
  2. Step 2: Convert to fraction form
    21,538.95/29,722.80 = 11,978.79/x
  3. Step 3: Cross multiply
    21,538.95x = 29,722.80 × 11,978.79
  4. Step 4: Simplify right side
    21,538.95x = 356,043,179.41
  5. Step 5: Solve for x
    x = 356,043,179.41/21,538.95
  6. Step 6: Final answer
    x = 16,530.20

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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.