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Finding the Fourth Proportional to 38,290.98, 57,442.65 and 13,338.24

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Solution

The fourth proportional to 38,290.98, 57,442.65 and 13,338.24 is: 20,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,290.98 : 57,442.65 = 13,338.24 : x
  2. Step 2: Convert to fraction form
    38,290.98/57,442.65 = 13,338.24/x
  3. Step 3: Cross multiply
    38,290.98x = 57,442.65 × 13,338.24
  4. Step 4: Simplify right side
    38,290.98x = 766,183,851.94
  5. Step 5: Solve for x
    x = 766,183,851.94/38,290.98
  6. Step 6: Final answer
    x = 20,009.51

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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.