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Finding the Fourth Proportional to 24,580.40, 36,865.80 and 8,164.40

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Solution

The fourth proportional to 24,580.40, 36,865.80 and 8,164.40 is: 12,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.40 : 36,865.80 = 8,164.40 : x
  2. Step 2: Convert to fraction form
    24,580.40/36,865.80 = 8,164.40/x
  3. Step 3: Cross multiply
    24,580.40x = 36,865.80 × 8,164.40
  4. Step 4: Simplify right side
    24,580.40x = 300,987,137.52
  5. Step 5: Solve for x
    x = 300,987,137.52/24,580.40
  6. Step 6: Final answer
    x = 12,245.01

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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.