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Finding the Fourth Proportional to 24,751.50, 37,130.34 and 8,113.22

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Solution

The fourth proportional to 24,751.50, 37,130.34 and 8,113.22 is: 12,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.50 : 37,130.34 = 8,113.22 : x
  2. Step 2: Convert to fraction form
    24,751.50/37,130.34 = 8,113.22/x
  3. Step 3: Cross multiply
    24,751.50x = 37,130.34 × 8,113.22
  4. Step 4: Simplify right side
    24,751.50x = 301,246,431.44
  5. Step 5: Solve for x
    x = 301,246,431.44/24,751.50
  6. Step 6: Final answer
    x = 12,170.84

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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.