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Finding the Fourth Proportional to 25,096.98, 37,654.70 and 10,301.93

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Solution

The fourth proportional to 25,096.98, 37,654.70 and 10,301.93 is: 15,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.98 : 37,654.70 = 10,301.93 : x
  2. Step 2: Convert to fraction form
    25,096.98/37,654.70 = 10,301.93/x
  3. Step 3: Cross multiply
    25,096.98x = 37,654.70 × 10,301.93
  4. Step 4: Simplify right side
    25,096.98x = 387,915,843.79
  5. Step 5: Solve for x
    x = 387,915,843.79/25,096.98
  6. Step 6: Final answer
    x = 15,456.67

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