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Finding the Fourth Proportional to 21,538.44, 29,725.72 and 12,107.00

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Solution

The fourth proportional to 21,538.44, 29,725.72 and 12,107.00 is: 16,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.44 : 29,725.72 = 12,107.00 : x
  2. Step 2: Convert to fraction form
    21,538.44/29,725.72 = 12,107.00/x
  3. Step 3: Cross multiply
    21,538.44x = 29,725.72 × 12,107.00
  4. Step 4: Simplify right side
    21,538.44x = 359,889,336.09
  5. Step 5: Solve for x
    x = 359,889,336.09/21,538.44
  6. Step 6: Final answer
    x = 16,709.16

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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.