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Finding the Fourth Proportional to 24,667.84, 37,002.22 and 8,027.81

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Solution

The fourth proportional to 24,667.84, 37,002.22 and 8,027.81 is: 12,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.84 : 37,002.22 = 8,027.81 : x
  2. Step 2: Convert to fraction form
    24,667.84/37,002.22 = 8,027.81/x
  3. Step 3: Cross multiply
    24,667.84x = 37,002.22 × 8,027.81
  4. Step 4: Simplify right side
    24,667.84x = 297,046,725.42
  5. Step 5: Solve for x
    x = 297,046,725.42/24,667.84
  6. Step 6: Final answer
    x = 12,041.86

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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.