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Finding the Fourth Proportional to 24,995.50, 37,511.80 and 11,847.90

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Solution

The fourth proportional to 24,995.50, 37,511.80 and 11,847.90 is: 17,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,995.50 : 37,511.80 = 11,847.90 : x
  2. Step 2: Convert to fraction form
    24,995.50/37,511.80 = 11,847.90/x
  3. Step 3: Cross multiply
    24,995.50x = 37,511.80 × 11,847.90
  4. Step 4: Simplify right side
    24,995.50x = 444,436,055.22
  5. Step 5: Solve for x
    x = 444,436,055.22/24,995.50
  6. Step 6: Final answer
    x = 17,780.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.