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Finding the Fourth Proportional to 19,735.34, 29,609.99 and 12,145.23

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Solution

The fourth proportional to 19,735.34, 29,609.99 and 12,145.23 is: 18,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.34 : 29,609.99 = 12,145.23 : x
  2. Step 2: Convert to fraction form
    19,735.34/29,609.99 = 12,145.23/x
  3. Step 3: Cross multiply
    19,735.34x = 29,609.99 × 12,145.23
  4. Step 4: Simplify right side
    19,735.34x = 359,620,078.12
  5. Step 5: Solve for x
    x = 359,620,078.12/19,735.34
  6. Step 6: Final answer
    x = 18,222.14

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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.