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Finding the Fourth Proportional to 24,829.01, 37,244.65 and 8,190.50

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Solution

The fourth proportional to 24,829.01, 37,244.65 and 8,190.50 is: 12,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.01 : 37,244.65 = 8,190.50 : x
  2. Step 2: Convert to fraction form
    24,829.01/37,244.65 = 8,190.50/x
  3. Step 3: Cross multiply
    24,829.01x = 37,244.65 × 8,190.50
  4. Step 4: Simplify right side
    24,829.01x = 305,052,305.83
  5. Step 5: Solve for x
    x = 305,052,305.83/24,829.01
  6. Step 6: Final answer
    x = 12,286.12

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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.