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Finding the Fourth Proportional to 25,193.00, 37,747.97 and 14,633.38

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Solution

The fourth proportional to 25,193.00, 37,747.97 and 14,633.38 is: 21,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.00 : 37,747.97 = 14,633.38 : x
  2. Step 2: Convert to fraction form
    25,193.00/37,747.97 = 14,633.38/x
  3. Step 3: Cross multiply
    25,193.00x = 37,747.97 × 14,633.38
  4. Step 4: Simplify right side
    25,193.00x = 552,380,200.50
  5. Step 5: Solve for x
    x = 552,380,200.50/25,193.00
  6. Step 6: Final answer
    x = 21,925.94

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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.