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Finding the Fourth Proportional to 25,201.52, 37,808.49 and 10,414.67

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Solution

The fourth proportional to 25,201.52, 37,808.49 and 10,414.67 is: 15,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.52 : 37,808.49 = 10,414.67 : x
  2. Step 2: Convert to fraction form
    25,201.52/37,808.49 = 10,414.67/x
  3. Step 3: Cross multiply
    25,201.52x = 37,808.49 × 10,414.67
  4. Step 4: Simplify right side
    25,201.52x = 393,762,757.51
  5. Step 5: Solve for x
    x = 393,762,757.51/25,201.52
  6. Step 6: Final answer
    x = 15,624.57

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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.