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Finding the Fourth Proportional to 24,065.76, 33,212 and 13,454.80

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Solution

The fourth proportional to 24,065.76, 33,212 and 13,454.80 is: 18,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.76 : 33,212 = 13,454.80 : x
  2. Step 2: Convert to fraction form
    24,065.76/33,212 = 13,454.80/x
  3. Step 3: Cross multiply
    24,065.76x = 33,212 × 13,454.80
  4. Step 4: Simplify right side
    24,065.76x = 446,860,817.60
  5. Step 5: Solve for x
    x = 446,860,817.60/24,065.76
  6. Step 6: Final answer
    x = 18,568.32

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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.