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Finding the Fourth Proportional to 21,709.40, 29,964.86 and 12,759.77

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Solution

The fourth proportional to 21,709.40, 29,964.86 and 12,759.77 is: 17,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.40 : 29,964.86 = 12,759.77 : x
  2. Step 2: Convert to fraction form
    21,709.40/29,964.86 = 12,759.77/x
  3. Step 3: Cross multiply
    21,709.40x = 29,964.86 × 12,759.77
  4. Step 4: Simplify right side
    21,709.40x = 382,344,508.06
  5. Step 5: Solve for x
    x = 382,344,508.06/21,709.40
  6. Step 6: Final answer
    x = 17,611.94

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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.