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Finding the Fourth Proportional to 24,334.30, 36,513.60 and 13,812.40

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Solution

The fourth proportional to 24,334.30, 36,513.60 and 13,812.40 is: 20,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.30 : 36,513.60 = 13,812.40 : x
  2. Step 2: Convert to fraction form
    24,334.30/36,513.60 = 13,812.40/x
  3. Step 3: Cross multiply
    24,334.30x = 36,513.60 × 13,812.40
  4. Step 4: Simplify right side
    24,334.30x = 504,340,448.64
  5. Step 5: Solve for x
    x = 504,340,448.64/24,334.30
  6. Step 6: Final answer
    x = 20,725.50

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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.