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Finding the Fourth Proportional to 38,452.32, 57,669.84 and 13,828.32

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Solution

The fourth proportional to 38,452.32, 57,669.84 and 13,828.32 is: 20,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.32 : 57,669.84 = 13,828.32 : x
  2. Step 2: Convert to fraction form
    38,452.32/57,669.84 = 13,828.32/x
  3. Step 3: Cross multiply
    38,452.32x = 57,669.84 × 13,828.32
  4. Step 4: Simplify right side
    38,452.32x = 797,477,001.87
  5. Step 5: Solve for x
    x = 797,477,001.87/38,452.32
  6. Step 6: Final answer
    x = 20,739.37

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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.