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Finding the Fourth Proportional to 25,087.76, 37,654.20 and 13,410.96

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Solution

The fourth proportional to 25,087.76, 37,654.20 and 13,410.96 is: 20,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,087.76 : 37,654.20 = 13,410.96 : x
  2. Step 2: Convert to fraction form
    25,087.76/37,654.20 = 13,410.96/x
  3. Step 3: Cross multiply
    25,087.76x = 37,654.20 × 13,410.96
  4. Step 4: Simplify right side
    25,087.76x = 504,978,970.03
  5. Step 5: Solve for x
    x = 504,978,970.03/25,087.76
  6. Step 6: Final answer
    x = 20,128.50

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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.