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Finding the Fourth Proportional to 38,155.86, 57,236.31 and 13,198.32

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Solution

The fourth proportional to 38,155.86, 57,236.31 and 13,198.32 is: 19,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,155.86 : 57,236.31 = 13,198.32 : x
  2. Step 2: Convert to fraction form
    38,155.86/57,236.31 = 13,198.32/x
  3. Step 3: Cross multiply
    38,155.86x = 57,236.31 × 13,198.32
  4. Step 4: Simplify right side
    38,155.86x = 755,423,135.00
  5. Step 5: Solve for x
    x = 755,423,135.00/38,155.86
  6. Step 6: Final answer
    x = 19,798.35

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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.