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Finding the Fourth Proportional to 25,205.01, 37,830.87 and 12,733.82

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Solution

The fourth proportional to 25,205.01, 37,830.87 and 12,733.82 is: 19,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.01 : 37,830.87 = 12,733.82 : x
  2. Step 2: Convert to fraction form
    25,205.01/37,830.87 = 12,733.82/x
  3. Step 3: Cross multiply
    25,205.01x = 37,830.87 × 12,733.82
  4. Step 4: Simplify right side
    25,205.01x = 481,731,425.35
  5. Step 5: Solve for x
    x = 481,731,425.35/25,205.01
  6. Step 6: Final answer
    x = 19,112.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.