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Finding the Fourth Proportional to 19,850.96, 29,775.48 and 7,538

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Solution

The fourth proportional to 19,850.96, 29,775.48 and 7,538 is: 11,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.96 : 29,775.48 = 7,538 : x
  2. Step 2: Convert to fraction form
    19,850.96/29,775.48 = 7,538/x
  3. Step 3: Cross multiply
    19,850.96x = 29,775.48 × 7,538
  4. Step 4: Simplify right side
    19,850.96x = 224,447,568.24
  5. Step 5: Solve for x
    x = 224,447,568.24/19,850.96
  6. Step 6: Final answer
    x = 11,306.64

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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.