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Finding the Fourth Proportional to 24,667.12, 36,992.30 and 8,023.02

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Solution

The fourth proportional to 24,667.12, 36,992.30 and 8,023.02 is: 12,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.12 : 36,992.30 = 8,023.02 : x
  2. Step 2: Convert to fraction form
    24,667.12/36,992.30 = 8,023.02/x
  3. Step 3: Cross multiply
    24,667.12x = 36,992.30 × 8,023.02
  4. Step 4: Simplify right side
    24,667.12x = 296,790,075.28
  5. Step 5: Solve for x
    x = 296,790,075.28/24,667.12
  6. Step 6: Final answer
    x = 12,031.81

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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.