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Finding the Fourth Proportional to 25,906.64, 38,644.14 and 25,477.94

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Solution

The fourth proportional to 25,906.64, 38,644.14 and 25,477.94 is: 38,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.64 : 38,644.14 = 25,477.94 : x
  2. Step 2: Convert to fraction form
    25,906.64/38,644.14 = 25,477.94/x
  3. Step 3: Cross multiply
    25,906.64x = 38,644.14 × 25,477.94
  4. Step 4: Simplify right side
    25,906.64x = 984,573,129.11
  5. Step 5: Solve for x
    x = 984,573,129.11/25,906.64
  6. Step 6: Final answer
    x = 38,004.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.