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Finding the Fourth Proportional to 24,667.75, 37,007.09 and 11,512.94

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Solution

The fourth proportional to 24,667.75, 37,007.09 and 11,512.94 is: 17,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.75 : 37,007.09 = 11,512.94 : x
  2. Step 2: Convert to fraction form
    24,667.75/37,007.09 = 11,512.94/x
  3. Step 3: Cross multiply
    24,667.75x = 37,007.09 × 11,512.94
  4. Step 4: Simplify right side
    24,667.75x = 426,060,349.18
  5. Step 5: Solve for x
    x = 426,060,349.18/24,667.75
  6. Step 6: Final answer
    x = 17,271.96

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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.