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Finding the Fourth Proportional to 24,769.40, 37,136.82 and 9,182.84

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Solution

The fourth proportional to 24,769.40, 37,136.82 and 9,182.84 is: 13,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.40 : 37,136.82 = 9,182.84 : x
  2. Step 2: Convert to fraction form
    24,769.40/37,136.82 = 9,182.84/x
  3. Step 3: Cross multiply
    24,769.40x = 37,136.82 × 9,182.84
  4. Step 4: Simplify right side
    24,769.40x = 341,021,603.45
  5. Step 5: Solve for x
    x = 341,021,603.45/24,769.40
  6. Step 6: Final answer
    x = 13,767.86

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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.