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Finding the Fourth Proportional to 19,667.44, 29,500.08 and 7,977.52

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Solution

The fourth proportional to 19,667.44, 29,500.08 and 7,977.52 is: 11,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.44 : 29,500.08 = 7,977.52 : x
  2. Step 2: Convert to fraction form
    19,667.44/29,500.08 = 7,977.52/x
  3. Step 3: Cross multiply
    19,667.44x = 29,500.08 × 7,977.52
  4. Step 4: Simplify right side
    19,667.44x = 235,337,478.20
  5. Step 5: Solve for x
    x = 235,337,478.20/19,667.44
  6. Step 6: Final answer
    x = 11,965.84

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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.