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Finding the Fourth Proportional to 23,777.82, 35,667.14 and 8,993.70

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Solution

The fourth proportional to 23,777.82, 35,667.14 and 8,993.70 is: 13,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.82 : 35,667.14 = 8,993.70 : x
  2. Step 2: Convert to fraction form
    23,777.82/35,667.14 = 8,993.70/x
  3. Step 3: Cross multiply
    23,777.82x = 35,667.14 × 8,993.70
  4. Step 4: Simplify right side
    23,777.82x = 320,779,512.05
  5. Step 5: Solve for x
    x = 320,779,512.05/23,777.82
  6. Step 6: Final answer
    x = 13,490.70

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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.