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Finding the Fourth Proportional to 19,735.74, 29,600.42 and 7,252.70

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Solution

The fourth proportional to 19,735.74, 29,600.42 and 7,252.70 is: 10,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.74 : 29,600.42 = 7,252.70 : x
  2. Step 2: Convert to fraction form
    19,735.74/29,600.42 = 7,252.70/x
  3. Step 3: Cross multiply
    19,735.74x = 29,600.42 × 7,252.70
  4. Step 4: Simplify right side
    19,735.74x = 214,682,966.13
  5. Step 5: Solve for x
    x = 214,682,966.13/19,735.74
  6. Step 6: Final answer
    x = 10,877.88

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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.