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Finding the Fourth Proportional to 24,244, 33,456.74 and 14,812.50

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Solution

The fourth proportional to 24,244, 33,456.74 and 14,812.50 is: 20,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244 : 33,456.74 = 14,812.50 : x
  2. Step 2: Convert to fraction form
    24,244/33,456.74 = 14,812.50/x
  3. Step 3: Cross multiply
    24,244x = 33,456.74 × 14,812.50
  4. Step 4: Simplify right side
    24,244x = 495,577,961.25
  5. Step 5: Solve for x
    x = 495,577,961.25/24,244
  6. Step 6: Final answer
    x = 20,441.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.