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Finding the Fourth Proportional to 19,774.02, 29,654.92 and 5,735.08

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Solution

The fourth proportional to 19,774.02, 29,654.92 and 5,735.08 is: 8,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.02 : 29,654.92 = 5,735.08 : x
  2. Step 2: Convert to fraction form
    19,774.02/29,654.92 = 5,735.08/x
  3. Step 3: Cross multiply
    19,774.02x = 29,654.92 × 5,735.08
  4. Step 4: Simplify right side
    19,774.02x = 170,073,465.55
  5. Step 5: Solve for x
    x = 170,073,465.55/19,774.02
  6. Step 6: Final answer
    x = 8,600.85

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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.