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Finding the Fourth Proportional to 24,059.35, 33,205.72 and 14,500.80

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Solution

The fourth proportional to 24,059.35, 33,205.72 and 14,500.80 is: 20,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059.35 : 33,205.72 = 14,500.80 : x
  2. Step 2: Convert to fraction form
    24,059.35/33,205.72 = 14,500.80/x
  3. Step 3: Cross multiply
    24,059.35x = 33,205.72 × 14,500.80
  4. Step 4: Simplify right side
    24,059.35x = 481,509,442.91
  5. Step 5: Solve for x
    x = 481,509,442.91/24,059.35
  6. Step 6: Final answer
    x = 20,013.40

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