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Finding the Fourth Proportional to 24,855.70, 37,295.70 and 11,705.80

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Solution

The fourth proportional to 24,855.70, 37,295.70 and 11,705.80 is: 17,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855.70 : 37,295.70 = 11,705.80 : x
  2. Step 2: Convert to fraction form
    24,855.70/37,295.70 = 11,705.80/x
  3. Step 3: Cross multiply
    24,855.70x = 37,295.70 × 11,705.80
  4. Step 4: Simplify right side
    24,855.70x = 436,576,005.06
  5. Step 5: Solve for x
    x = 436,576,005.06/24,855.70
  6. Step 6: Final answer
    x = 17,564.42

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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.