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Finding the Fourth Proportional to 19,725.52, 29,573.70 and 7,238.97

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Solution

The fourth proportional to 19,725.52, 29,573.70 and 7,238.97 is: 10,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725.52 : 29,573.70 = 7,238.97 : x
  2. Step 2: Convert to fraction form
    19,725.52/29,573.70 = 7,238.97/x
  3. Step 3: Cross multiply
    19,725.52x = 29,573.70 × 7,238.97
  4. Step 4: Simplify right side
    19,725.52x = 214,083,127.09
  5. Step 5: Solve for x
    x = 214,083,127.09/19,725.52
  6. Step 6: Final answer
    x = 10,853.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.