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Finding the Fourth Proportional to 24,541, 33,866.20 and 14,469.86

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Solution

The fourth proportional to 24,541, 33,866.20 and 14,469.86 is: 19,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541 : 33,866.20 = 14,469.86 : x
  2. Step 2: Convert to fraction form
    24,541/33,866.20 = 14,469.86/x
  3. Step 3: Cross multiply
    24,541x = 33,866.20 × 14,469.86
  4. Step 4: Simplify right side
    24,541x = 490,039,172.73
  5. Step 5: Solve for x
    x = 490,039,172.73/24,541
  6. Step 6: Final answer
    x = 19,968.18

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1.5x scale

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.