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Finding the Fourth Proportional to 21,529.31, 29,713.24 and 12,097.88

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Solution

The fourth proportional to 21,529.31, 29,713.24 and 12,097.88 is: 16,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.31 : 29,713.24 = 12,097.88 : x
  2. Step 2: Convert to fraction form
    21,529.31/29,713.24 = 12,097.88/x
  3. Step 3: Cross multiply
    21,529.31x = 29,713.24 × 12,097.88
  4. Step 4: Simplify right side
    21,529.31x = 359,467,033.12
  5. Step 5: Solve for x
    x = 359,467,033.12/21,529.31
  6. Step 6: Final answer
    x = 16,696.63

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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.