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Finding the Fourth Proportional to 38,406.69, 57,635.97 and 13,446.93

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Solution

The fourth proportional to 38,406.69, 57,635.97 and 13,446.93 is: 20,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.69 : 57,635.97 = 13,446.93 : x
  2. Step 2: Convert to fraction form
    38,406.69/57,635.97 = 13,446.93/x
  3. Step 3: Cross multiply
    38,406.69x = 57,635.97 × 13,446.93
  4. Step 4: Simplify right side
    38,406.69x = 775,026,854.07
  5. Step 5: Solve for x
    x = 775,026,854.07/38,406.69
  6. Step 6: Final answer
    x = 20,179.48

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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.