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Finding the Fourth Proportional to 24,145.25, 33,320.57 and 14,080.67

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Solution

The fourth proportional to 24,145.25, 33,320.57 and 14,080.67 is: 19,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.25 : 33,320.57 = 14,080.67 : x
  2. Step 2: Convert to fraction form
    24,145.25/33,320.57 = 14,080.67/x
  3. Step 3: Cross multiply
    24,145.25x = 33,320.57 × 14,080.67
  4. Step 4: Simplify right side
    24,145.25x = 469,175,879.98
  5. Step 5: Solve for x
    x = 469,175,879.98/24,145.25
  6. Step 6: Final answer
    x = 19,431.39

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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.